integral of x^2/(xsin(x)+cos(x))^2
Рет қаралды 591,818
5 жыл бұрынA pretty hard integral by integration by parts. Integral of x^2/(x*sin(x)+cos(x))^2,
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#calculus
@ankit4249 5 жыл бұрын
wow he solves it in 12 minutes but gives us only 2 seconds to try it.
@blackpenredpen 5 жыл бұрын
hahaha : )))
@sawmill6358 5 жыл бұрын
You're supposed to pause the video and try it on your own ~
@adel6019 5 жыл бұрын
@@sawmill6358 It's a joke bro
@robertpatil6857 4 жыл бұрын
He has to explain it too...😐😐
@generalginger7804 4 жыл бұрын
pause!
@devprakash5320 5 жыл бұрын
We barely get 2 or 3 minutes to solve this problem during exam So it gets complicated to think like that
@ohyeahyeahyeah8396 5 жыл бұрын
When you have already done it is easy
@hammer.11011 5 жыл бұрын
@@ohyeahyeahyeah8396 try solving those 18 questions in an hour and get them all correct 🙂
@ohyeahyeahyeah8396 5 жыл бұрын
@@hammer.11011 Bhai, mene bhi mains diya hai. Meri 99.2 percentile hai so pls mujhe pata hai kaise karte hai
@hammer.11011 5 жыл бұрын
@@ohyeahyeahyeah8396 advance ki baat kar Raha hu :)
@awesomevid5447 5 жыл бұрын
@@hammer.11011 ye 12th class lvl ka question ha bhai.
@MoonLight-sw6pc 5 жыл бұрын
He never forgets + c . Quite impressive .
@bixstar1469 4 жыл бұрын
i ALWAYS forget it
@TechFabLab 4 жыл бұрын
My auto correct always adds it
@midhun.m4963 4 жыл бұрын
😂😂😂
@dqrksun 3 жыл бұрын
EXTREMELY impressive
@ryancantpvp 3 жыл бұрын
@@dqrksun yo.
@saurabhparate 5 жыл бұрын
90% of views on this video will be from India!
@nup742 5 жыл бұрын
I'm Indian
@kawawashaibu6854 5 жыл бұрын
Am from Tanzania
@satviksharma1146 5 жыл бұрын
From india
@yugalkishore8991 5 жыл бұрын
I'm IIT JEE aspirent
@pbraju123456 5 жыл бұрын
True
@punkrockrules205 5 жыл бұрын
tan(x - arctan(x)) + C 1. divide top and bottom by x² so we get 1/(sinx + 1/x * cosx)^2 2. factor out sqrt(1/x^2 + 1) inside the square to get (x^2/(1 + x^2)) * (1/(sinx*1/ sqrt(1/x^2 + 1) + cosx*(1/x)/sqrt(1/x^2 + 1))^2 3. use the formula for cos(a + b) to get (x^2/(1 + x^2)) * sec^2(x - arctan(x)) 4. let u = x - arctan(x) so that x^2/(1 + x^2) dx = du, so that the integral becomes integral sec^2 u du 5. Integrate to get tan(x - arctan(x))
@blackpenredpen 5 жыл бұрын
WOW!!!!!
@folyplays-getgamified3613 4 жыл бұрын
@@blackpenredpen sorry I am late but can you explain 3rd line please?
@shubham-sc3jn 4 жыл бұрын
@FolyPlays Expand cos(x-arctan(x)) using cos(a-b)=cosacosb+sinasinb, use cos(arctan(x))=1/sqrt(1+x^2)=1/x*1/(sqrt(1+1/x^2)) and sin(arctan(x))=x/sqrt(1+x^2)=1/sqrt(1/x^2+1)
@appybane8481 Жыл бұрын
@@folyplays-getgamified3613 cos(a+b)=cosa cosb-sina sinb
@ethanpfeiffer7403 5 жыл бұрын
Sure, put it on the exam and hope your students forget about this vodeo/never find it.
@blackpenredpen 5 жыл бұрын
Yay
@holyshit922 5 жыл бұрын
Put on exam integral that i found Int(x/sqrt(e^{x}+(x+2)^2)dx) because integral you found is quite easy Wolfram alpha will not help the students and may lead to wrong conclusions Integral which i found can be calculated using tricks like adding zero and multiplying by one \ then apply linearity and first will be easy and for second will be easy to find suitable substitution Int(x/sqrt(e^{x}+(x+2)^2)dx) = Int((1+(x/sqrt(e^{x}+(x+2)^2)-1))dx)= Int((1+(x-sqrt(e^{x}+(x+2)^2))/sqrt(e^{x}+(x+2)^2))dx)= Int(dx)+Int((x-sqrt(e^{x}+(x+2)))/sqrt(e^{x}+(x+2)^2)dx)= Int(dx)+Int(1/(x+2+sqrt(e^{x}+(x+2)^2))(x+2+sqrt(e^{x}+(x+2)^2)(x-sqrt(e^{x}+(x+2)^2))/sqrt(e^{x}+(x+2)^2))dx) If we multiply the numerator we will notice that numerator is constant multiple of denominator
@yogicbhardwaj7788 5 жыл бұрын
blackpenredpen plz solve this question integral of (xsinx)cosx/sinx + cosx
@joshuamason2227 5 жыл бұрын
@@holyshit922 calm down satan
@okgfwij 4 жыл бұрын
What about int(1/sqrt(x^2+1)) 😁 and without using a formula for int(csc(x))...
@Goku17yen 5 жыл бұрын
Lol, one of my friend ask me the Chinese WiFi problem and I answer immediately pi lolol
@blackpenredpen 5 жыл бұрын
LOL
@nithin1729s 3 жыл бұрын
Lol
@ShadicgunMan 3 жыл бұрын
How many digits though?
@sushilkumarlohani6709 2 жыл бұрын
Lol
@sushilkumarlohani6709 2 жыл бұрын
@@ShadicgunMan 6-7 maybe doesn't matter you can solve using 355/113
@GaryTugan 5 жыл бұрын
Love these! Your explanations and way of explaining always help me to see clearly the logic and process. So much so that I was able to write the integral down and do it myself from scratch... all the way thru without looking for a hint. And I finished it in around 11 mins. awesome ! Thanks! I find these integrals strangely soothing... :)
@blackpenredpen 5 жыл бұрын
Thank you!! : ))))
@TheBlueboyRuhan 5 жыл бұрын
Can't wait to slide this to my friend as an easy "Calc. 1" question #YAY
@ankushsingh4614 5 жыл бұрын
Sir Rahmed what is calculus 1?
@OtherTheDave 5 жыл бұрын
Ankush Singh The first calculus class. Where I took it, “Calc 1” covered derivatives, “Calc 2” was about integration, and “Calc 3” - sometimes called “Multivariable Calculus” - was about applying Calc 1 _and_ Calc 2 to situations involving more than one variable. AFAIK, they’re broken up somewhat similarly across the country (USA for me, dunno about Sir Rahmed) so that it’ll be easier if you need to switch schools. Within reason, of course... you can’t translate classes from a school that uses semesters (about 4 months) to a school that uses quarters (3 months), for example.
@Capnarchie 5 жыл бұрын
Sir Rahmed guess who I found scrolling on the interwebs
@TheBlueboyRuhan 5 жыл бұрын
@@Capnarchie No way, you watch blackpenredpen too? ;)
@Capnarchie 5 жыл бұрын
Sir Rahmed sometimes
@quahntasy 5 жыл бұрын
Impossible? Not with blackpenredpen around.
@holyshit922 5 жыл бұрын
Actually i calculated it as response of RADHA KUMARI comment two months before blackpenredpen I had done it in the same way blackpenredpen did Here we had luck that our numerator cancelled with denominator and we got easy to calculate inegral I think that my above example is worth to record video on it because programs like Wolfram alpha have problems to calculate it and my way to calculate it may be lost in the other comments
@palashagrawal1551 4 жыл бұрын
@@holyshit922 integration like this are built up to be cancelled out by ILATE method to integrate further .its not by luck .its the design of such question.thats y integration cannot be done by framing questions ourself ..
@decentman7555 3 жыл бұрын
kzfaq.info/get/bejne/r8WIqrScyM7bonk.html
@anubhavverma2297 3 жыл бұрын
This is possible. and Title is not correct. I have solved this with various methods.
@pranavbharadwaj521 5 жыл бұрын
As a 12th grader studying in India, I can say without a doubt that questions like this are the ones you should be skipping 😂
@decentman7555 3 жыл бұрын
kzfaq.info/get/bejne/r8WIqrScyM7bonk.html
@friedsugar2701 3 жыл бұрын
Kyu?
@Kkaran8404 2 жыл бұрын
Time jayeega. Simpler ones pehle karlo
@akshatsaini69 Жыл бұрын
haha, this is an ncert exemplar question btw💀😭
@VBM375 Жыл бұрын
@@akshatsaini69 it is definitely advanced level
@bukler3934 5 жыл бұрын
Honmestly impressed by the clear explanation and the fact that you went over all the passages. Also really great attitude
@alephnull4044 5 жыл бұрын
Very cool, and it's great that you explain exactly how you come up with each step. Many teachers don't understand that showing how you think of the solution in the first place is more important than the solution itself.
@marlonbrade9424 5 жыл бұрын
I hope my sister will not find your video. 😂😂😂 I will give this as her exercise 😏😏😏.
@blackpenredpen 5 жыл бұрын
marlon brade lol, nice!!
@MrLuigiBean1 5 жыл бұрын
Gosh, I love that moment when I'm riding along with the explanation and suddenly something clicks into place! Awesome video!
@pwootjuhs 5 жыл бұрын
6:19 bprp: so, we're gonna stop right here... youtube: *An error occured, please try again later*
@DonutKop 5 жыл бұрын
Thanks for reminding me to subscribe. I had been watching your channel for months and just completely assumed that I had subscribed to you already because I watch your videos so frequently!
@blackpenredpen 5 жыл бұрын
DonutKop awww thank you!!!
@nalin8050 5 жыл бұрын
We did this problem in the 12th class, so... Of course,I'm from India.
@julu2731 5 жыл бұрын
we got the india part from your name.
@nalin8050 5 жыл бұрын
@@julu2731 so funny hahahahaha. Stfu
@nalin8050 5 жыл бұрын
@@julu2731 it's because I liked that game called king of thieves very much.
@ja.m4947 5 жыл бұрын
Yeh this question was for CBSE board eaxm 😂😂 I wonder why he even categorised this question for JEE prep 😂 like what a mockery this is
@jeshurunluke5573 5 жыл бұрын
Come on man I did it in my 10th grade, and I am from the US. Pretty sad you only started it in your 12th.
@mathonthego1947 5 жыл бұрын
"Let's do some math for fun" Ummm, don't we always do math for fun?
@blackpenredpen 5 жыл бұрын
Math On The Go totally!!!
@decentman7555 3 жыл бұрын
kzfaq.info/get/bejne/r8WIqrScyM7bonk.html
@kingbeauregard 5 жыл бұрын
I say those are magic pens that know how to do calculus. I want those pens.
@holyshit922 5 жыл бұрын
Maybe some people dislike this video because division by cosx changes the domain To use another choice for parts we need to manipulate the numerator for example multiply numerator by one (pythagorean) and add zero to be able to use linearity in the way that in first integral numerator cancels with denominator and second can be integraten by parts but with different choice of parts
@holdenh-dawg8772 4 жыл бұрын
It’s only impossible when more than two pens are required
@decentman7555 3 жыл бұрын
kzfaq.info/get/bejne/r8WIqrScyM7bonk.html
@Hexanitrobenzene 5 жыл бұрын
Integration by parts for quotient. Damn. Clever.
@blackpenredpen 5 жыл бұрын
Yay!!
@sauravmnsingh4532 5 жыл бұрын
It doesn't sound good. May be you get the answer .
@tomatrix7525 4 жыл бұрын
I love how his writing gets quicker and more figidty as he approaches his solution. You can see the excitement building! Also, very clever manipulation to be able to intgerate by parts!!!
@chinisa.innukshopa 5 жыл бұрын
LIATE (logarithm-inverse trig-algebraic-trig-exponential): a powerful tool but not always the best
@tushargahlaut5812 5 жыл бұрын
We were taught ILATE instead of LIATE.
@shayanshaikh534 5 жыл бұрын
Isn't it ILATE and not LIATE
@chinisa.innukshopa 5 жыл бұрын
Maybe, if you don't mind sounding like the White Rabbit from Alice in Wonderland (-; one pill makes you larger.... ;-)
@abhinavtiwari6438 5 жыл бұрын
It's ILATE
@shashwatjohri1503 5 жыл бұрын
we are taught ilate .
@vineet5322 5 жыл бұрын
i did this same problem at my preparation time, really good question to practice . i think the better way to do this is by writing x(square) on numerator as x(square)[sin(square)x + cos(square)x ] and then solve for it ,i hope it will help you.(it is little bit complex approach but it will open your mind) or anyways you can always use any suitable method feeling comfortable with.
@gouravpandey3513 3 жыл бұрын
How........... What are.. The next steps
@dhruvvraghu6226 4 жыл бұрын
Apparently everybody is an integration champ from MIT here.. If you wanna boast go somewhere else, this is for the ones who wanna learn.
@caravan1996 4 жыл бұрын
Yeah you are right.
@banana6108 3 жыл бұрын
Yes
@by7212 4 жыл бұрын
The way you approach problems help me with my maths mainly integrals.
@progamersfire1573 4 жыл бұрын
Ye sawal 2 ghante me nai bana ..DOUBTNUT NE BHI NAI BATAYA🤣ACHANAK MIL HI GAYAA
@theT3901 3 жыл бұрын
Wah
@craftbuzzwonky4752 3 жыл бұрын
🤣🤣🤣🤣
@x-warrior8517 5 жыл бұрын
that was great explanation.thank you
@muhammedg-tips1584 4 жыл бұрын
Bro you make it a piece of cake great effort here ♥
@williamkrueger268 5 жыл бұрын
Yes, great exam question! I came up with a different approach, but this was an easier way to arrive at the solution.
@tanakaatanaka 3 жыл бұрын
Since the order of the denominator of ○'/○^n decreases and becomes simpler when integrated, it may work well to use it as the integrating side of a partial integration.
@adi-xd8ze 3 жыл бұрын
These type of questions come in jee advanced exm which have to be done in 3 to 4 min and this was an easy one. Keep up the good work
@qwertyuiop2161 Жыл бұрын
easy if you know the trick.
@skwbusaidi 4 жыл бұрын
You can write xsinx + cosx as one trig xsinx + cos x = sqrt(x^2+1) cos (x - arctan(x)) Intgeral of (x^2)/(x2+1) × sec^2 ( x-arctanx) dx Let u = x-arctan(x) du = (x^2)/(x2+1) dx Integera of sec^2 (u) du Answer tan ( x-arctan x ) + C If you want to get the same answer , you can use the angle difference for tan. Then, replace tanx with sinx/ cosx
@divysaraswat2084 Жыл бұрын
u can also do this ques with substitution : x = tan t... in denominator u can get the formula of cos ( A-B) and with another sub after it we can get the answer
@msk4246 3 жыл бұрын
THESE QUESTIONS ARE SUPPOSED TO BE DONE IN 3 4 MINUTES AND WITH THE PRESSURE THAT YOUR FUTURE SOMEWHERE DEPENDS ON THEM... THAT'S WHY NO EXAM CAN BEAT JEE ADVANCE IN TOUGHNESS
@blackpenredpen 3 жыл бұрын
😮
@raghav9o9 3 жыл бұрын
Lol look at KVPY it have the most hardest problem in mathematics which are based on not your mathematical skills but how is your scientific approach to mathematics. Also JEE advance is nothing in front of KVPY
@msk4246 3 жыл бұрын
@@raghav9o9 KVPY IS TOO EASY LOOK AT IMO PUTNAM BRO.... BTW I'M IN 10 AND PREPARING FOR JEE AND IMO....
@raghav9o9 3 жыл бұрын
@@msk4246 bro comparing jee it is harder and try to solve question of kvpy also we don't have to fight on this matter we are humans we are here to solve problems not to tell which one is harder every exam has its own level.
@raghav9o9 3 жыл бұрын
@@msk4246 I know putnam is very hard I didn't even try its problem I love mathematics because it tells about the beauty of nature not to pass an exam so stay blessed.
@coolnig7124 4 жыл бұрын
This is not even a JEE level question. Even someone like me who is not preparing for JEE can solve this. JEE questions are much harder than this
@biswadevmajhi231 4 жыл бұрын
I have solved many jee question but this one is tough
@allipse8224 4 жыл бұрын
@@biswadevmajhi231 for advance, it's moderate level
@nathanielhensley4830 4 жыл бұрын
@@allipse8224 Can you just stop?
@ichigo449 4 жыл бұрын
@@nathanielhensley4830 It's like the Gaokao or Oxbridge Entrance Exams. Students study specifically for these tests and attend cram schools for years.
@nathanielhensley4830 4 жыл бұрын
@@ichigo449 I know what it is. It's nothing to be proud of.
@protoword10 5 жыл бұрын
I just suscribe to this channel, it brings me memory of my college years...👌
@vivektiwari1873 5 жыл бұрын
Your pronunciation is literally amazing.
@nuduw 5 жыл бұрын
I actually solved it by dividing the numerator & denominator by (cosx)^2. Btw, this question was asked in our weekend exam. I'm taking the IIT-JEE exam on May-19-2019.
@karteke 4 жыл бұрын
How did it go?
@sidharths2355 4 жыл бұрын
How did you simplify
@decentman7555 3 жыл бұрын
kzfaq.info/get/bejne/r8WIqrScyM7bonk.html
@voidmain7954 3 жыл бұрын
are you alive?
@nuduw 3 жыл бұрын
@@karteke Failed to clear the chemistry part ;-;
@fengshengqin6993 5 жыл бұрын
Hi ,thanks for clearly integral by part. I didn't get this way to integral . I changed xsinx +cosx=cos[x-arctanx] (x^2+1)^(1/2) then this integral has been transformed into X^2/(X^2+1) times sec^2[x-arctanx] ,then I found that d[x-acrtanx]=x^2/(x^2+1) , So I used U substitution , then result is tan(x-arctanx) , I think this is more clear than the wolfram alpha's result .
@gaunterodimm7219 5 жыл бұрын
Beautiful approach
@donmoore7785 4 жыл бұрын
Another excellent presentation.
@brittoaugustus4060 5 жыл бұрын
I did this problem using the ''Harmonic addition theorem'' and I got a slightly different answer.
@paultoutounji3582 4 жыл бұрын
Love the integral and enjoy your way of teaching ! Always a pleasure to watch and listen ! But this intergral should not be in your calculus 2 EXAM but in a homework that could be evaluated . :D
@amj.composer 5 жыл бұрын
Wonderful method sir! So much easier and "obvious" once you know the solution (if that made sense) Thanks for the video. I'mma use this method.
@Subro_Plays 3 жыл бұрын
I never thought that this could be done so smartly
@Quwertyn007 5 жыл бұрын
Whenever I see this exam's name all I can think is YEET
@abhirajarora7631 3 жыл бұрын
Yeah, students get yeeted every year. I am about to be part of that tradition in two days.
@rimanbachar7588 5 жыл бұрын
Thanks for helping.🙏 Love you💖💖💖💖. 👍👍👍👍👍👍👍👍
@VSP4591 3 жыл бұрын
Very ingenious. Congratulation.
@divyajyotibose5769 5 жыл бұрын
This video was very helpful. Can you make more videos on IIT JEE advanced tricky questions which will really save some of us
@golammartuzahossain6748 5 жыл бұрын
I've found out a more inquisitive way to solve it. use harmonic addition theorem on the denominator,and take the argument of the sine function(or cosine,depending on which one you prefer to use) as u,and differentiate.Also you'll have to to an easy partial fraction which immediately follows. Just try it!
@holyshit922 5 жыл бұрын
Harmonic addition ? Is it possible ? Coefficients in front of trig functions are not constant
@golammartuzahossain6748 5 жыл бұрын
Doesn't necessarily have to have constant coefficients. try to write the denominator as sin(x+arctan(1/x)) then take the argument of this sine function as u and see what happens
@pco246 5 жыл бұрын
How would you even think about that? OMG
@golammartuzahossain6748 5 жыл бұрын
Well the denominator looked that much tempting to me to use the harmonic addition PCreeper
@kunwarshaanjeetsinghgrover2102 5 жыл бұрын
That thoerom is not in the syllabus of the exam i think. But if its a good method then good for you!
@dottorgelo292 5 жыл бұрын
Hi Bprp, I wanted to buy two of your “derivatives for you” T-shirt, but I’ve just noticed that the campaign on Teespring.com has ended two days ago, is it correct? What can I do? Thank you a lot, you’re awesome!
@blackpenredpen 5 жыл бұрын
Hi Dottor Gelo, Yea, it has ended, but I might put it back on again. I am just working somethings out with them at the moment. Sorry.
@rengokukyojuro1384 Жыл бұрын
as someone preparing for jee i remember this question as a format of forcing by parts. it was really long but satisfying.
@erickherrerapena8981 4 жыл бұрын
No lo habia pensado de esa manera. ¡¡Buen video!!
@_AmbujJaiswal 3 жыл бұрын
This question came recently in jee main exam which is an entrance exam to just sit in IIT jee exam🙂
@zynade9334 3 жыл бұрын
Which shift?
@_AmbujJaiswal 3 жыл бұрын
@@zynade9334 bro this is forcing integration by parts method I am not sure which shift but it was in 2020 spetember attempt🙂 (Or january not sure but it was in 2020 mains exam)
@zynade9334 3 жыл бұрын
@@_AmbujJaiswal Ok thanks, I found it
@pooydragon5398 5 жыл бұрын
Great video. Could you please make some videos about teaching some methods instead of explaining problems. That would really help me! Thanks
@person1082 4 жыл бұрын
bprp: It’s actually pretty easy. You just start with a quotient, you differentiate that, and if you see a lot of simplifications it will make the integral really really hard. me: the derivative of sin(x)/cos(x) simplifies all the way to sec^2(x), therefore it’s really hard
@pureaura4608 5 жыл бұрын
For integrating by parts try this FIS-DFIS (FIRST*INTEGRAL OF SECOND) MINUS (INTEGRAL(DERIVATIVE OF FIRST*INTEGRAL OF SECOND dx))
@Archipelago. 5 жыл бұрын
Famous problem of JEE ...😂😂 Everyone can solve it Jee preparators raise their hands from crowd 😂🤣
@lordx4641 4 жыл бұрын
This was a class 12 problem
@anjulhariharce-3192 4 жыл бұрын
🙌
@phythematics2188 4 жыл бұрын
RD Sharma Volume 2 Page 19.132 Example 14
@decentman7555 3 жыл бұрын
kzfaq.info/get/bejne/r8WIqrScyM7bonk.html
@n0lain 5 жыл бұрын
I'm not gonna lie, I'd probably have missed this question if it was on my calc 2 exam lol
@swastiksahu1312 4 жыл бұрын
You could also expand the numerator to x^2sin^2x + x^2cos^2x and simplify.
@orient9439 4 жыл бұрын
THE WAY U TEACH MAKES THE SUM APPEAR EASY SIR YOU ARE SUPER AWESOME
@gautamwadhwani2033 5 жыл бұрын
I read the description that it was by parts and solved it easily!
@SartajKhan-jg3nz 5 жыл бұрын
Yeah give it in your Calc 2 exam and dont forget to post the students' reaction!!
@blackpenredpen 5 жыл бұрын
: )
@danbarsan6936 5 жыл бұрын
donitzeti
@madalina-laviniadulhac1764 5 жыл бұрын
Watching you is much better than social media tho
@jeffreyluciana8711 4 жыл бұрын
Absolutely beautiful and brilliant
@manjushasonar6701 5 жыл бұрын
My jee exam is on 9 Jan 2019
@OonHan 5 жыл бұрын
Here is my solution: wolfram alpha the integral. DONE
@blackpenredpen 5 жыл бұрын
Oon Han yay!!!
@rrr1304 4 жыл бұрын
Not in jee syllabus
@Nobody-pv9jt 4 жыл бұрын
@@rrr1304 dude issa joke
@dhruvgupta7046 3 жыл бұрын
I was new to your channel, so I asked you to try JEE. But you actually did it way before... You are awesome bruhh
@michapodlaszuk9025 4 жыл бұрын
Blew my mind, so nice integral
@kushagrapandey2466 5 жыл бұрын
Thanks sir I'm an JEE aspirant. My exam is on 2019.❤Thanks for the video, I'm studying at 3:00 AM this came in my recommendation and helped a lot. Btw which country are you from?
@kushagrapandey2466 5 жыл бұрын
@Sashank Sriram not every asian is chinese bro.😂He can be from Philippines, korea, japan, Vietnam
@HitmanReborn9999 5 жыл бұрын
@@kushagrapandey2466 ...That doesn't mean he's not Chinese though?
@nme7885 5 жыл бұрын
This is basic RD sharma math
@amj.composer 5 жыл бұрын
Nonsense. Sab ne maths padha hai show-off ke bacche. Basic nahi hai, advanced hi hai.
@abhig7622 5 жыл бұрын
@@amj.composer true😂😂
@Nitro-kx7ok 4 жыл бұрын
@@amj.composer Kon de class me hai Bhai chota hai Kya 12 me ncert dhang see Ni kri na????
@amj.composer 4 жыл бұрын
@@Nitro-kx7ok Bhai, hindi nahi aati? Thoda dhang se likhne ki koshish kar. Tere spellings ko dekhke lagta hai ki na tereko English aati hai aur na maa baap ne Hindi sikhayi.
@venkatbabu186 4 жыл бұрын
X sqared means a regular square pattern. Xsinx means multiple waves. cosX added means inverted angles or I. Squaring multiple waves and Angeles ninety means absolute values of waves instances. When you divide one by the other and integrate you get circular ripples.
@harshsinghchauhan689 4 жыл бұрын
You are incredible bro
@chandanverma6523 5 жыл бұрын
It's good w Question.... I'm from Varanasi India
@bharatsoni9577 3 жыл бұрын
our teacher did this with 3 methods Anna Sir
@mariakhan6090 3 жыл бұрын
yes! Anna sir!
@Nasir.365 3 жыл бұрын
Sab batana hai is BHARAT ko, xD!
@kroax9720 3 жыл бұрын
This is a famous question which came from the coaching modules which use to give it is so easy ❤
@ashishgiri2373 3 жыл бұрын
Even i have been taught this by my teachers but this explaination cleared my concept thnks sir
@prahladgurjar9700 5 жыл бұрын
Damn ! If this was the question the question in last year's cbse board, 80% students of India would've got full marks in this one. 😛
@praveensingh4525 5 жыл бұрын
Stop exaggeratating. Boards have way more easier problems. :)
@vikasrawat7999 5 жыл бұрын
U know about IIT ? WOWW
@chocoice9 5 жыл бұрын
@@dr.mikelitoris no u
@RC-qi6hs 5 жыл бұрын
@@deviprasad_bal I think it's 3rd most difficult exam
@deviprasad_bal 5 жыл бұрын
@@RC-qi6hs no it's 5th... 1st-CCIE 2nd-GATE 3rd-Gaokao 4th-UPSC 5th-IIT-JEE
@RC-qi6hs 5 жыл бұрын
@@deviprasad_bal Ty for d correction
@ritik5223 5 жыл бұрын
@@deviprasad_bal lol out of top 5 difficult Exam 3 exam are of india
@peeper2070 3 жыл бұрын
I was about to try it until I realised it was integrating not differentiating. Not at that stage yet but I’ll be sure to come back in 12 months when I learn it.
@vladislavziyangulov7490 3 жыл бұрын
Nice train of thought! You could also rewrite xsinx+cosx=sqr(x^2+1)*sin(x+arccotx). You will see that it perfectly represents the derivative of -cot(f(x)), where f(x)=x+arccotx and f’(x)=x^2/(x^2+1). After integrating, this would yield -cot(x+arccotx)+C.
@chandrabitpal9151 4 жыл бұрын
Actually this is one of the easier integrations of iitjee sometimes they ask national mathematics Olympiad level problem those are the main crunch these are the bonus questions that iitians clear
@chimetimepaprika 5 жыл бұрын
This made me unsubscribe just so I could resubscribe for emphasis.
@blackpenredpen 5 жыл бұрын
chimetimepaprika Hahahaha aww thank you!
@RiteshNEVERUNIFORM 5 жыл бұрын
We are taught this by putting the denominator = t and differentiating. And replacing values its more easy that way but i like the way you make it complex and detailed😃
@animalfarm7467 5 жыл бұрын
This is the question one would use in a multiple selection. For example, four of the following six questions must be completed to complete the exam. Let them select this question at their own risk. They need to learn early; not understanding their limitations and bad choices have consequences.
@prathmeshchhabra2010 5 жыл бұрын
Khosa.... X (cosx)
@bruhmoment1835 5 жыл бұрын
Dammit cosine x
@AndDiracisHisProphet 5 жыл бұрын
you are way to little of a meaniepus to put this into your exam^^
@blackpenredpen 5 жыл бұрын
: )
@sagar3457 5 жыл бұрын
*It will be more intresting if we add upper limit and lower limit too*
@explorer4459 2 жыл бұрын
I think similar problem is in grb calculus book and I did it by assuming that answer is f(x)/xsin(x)+cos(x).and differentiating and equating it to the original expression.it was then easy to predict what f(x) could be
@mayankraghuvanshi3393 5 жыл бұрын
I have my IIT JEE exam on January next year 🤪🤪
@TheRayll 5 жыл бұрын
good luck
@TheRayll 5 жыл бұрын
it's jee mains? yea?
@mayankraghuvanshi3393 5 жыл бұрын
@@TheRayll yes it's JEE mains
@mayankraghuvanshi3393 5 жыл бұрын
@@TheRayll thanks a lot
@mayankraghuvanshi3393 5 жыл бұрын
@Rahul Pavan yes bro,but widely people know IIT JEE
@TejasKd221B 5 жыл бұрын
So its not impossible, ISN'T IT?
@decentman7555 3 жыл бұрын
kzfaq.info/get/bejne/r8WIqrScyM7bonk.html
@afsarshaikh9654 4 жыл бұрын
Beautiful.
@rubellite5766 4 жыл бұрын
1st into derivative of 2nd- integral of (Derivative of 1st*integral of second dx)
@mariakhan6090 3 жыл бұрын
This is so famous and becomes a cakewalk with two substitutions that my teacher pointed out: x=tan θ and then (tan θ - θ) = t you'll get the answer straightway
@imgaurav7627 5 жыл бұрын
This is not that tough. I asked this question to all of my friends. They were able to do. Btw I too had cracked JEE Advanced with a rank of 9712 and got admission in Indian Institute of Petroleum and Energy (IIPE), Visakhapatnam.
@blackpenredpen 5 жыл бұрын
im gaurav good for you!
@imgaurav7627 5 жыл бұрын
@@blackpenredpen A good reply sir!! But I wasn't trying to show off or anything like that. I just meant this question is okay but not that tough to be called impossible. Btw you are doing a great work by providing education. I really appreciate it!!
@blackpenredpen 5 жыл бұрын
im gaurav well, I put "impossible?" Since I think people would be wondering if that's even possible or not in the first place. So yea.
@imgaurav7627 5 жыл бұрын
@@blackpenredpen Ok. I got it. Still 'good for you' was a bit rude. It doesn't suit to the educators like you. And going through all you content, I must say nice work man!
@hemant4mech 5 жыл бұрын
You were trying to show off. Your rank in Jee Advanced cues that it is highly improbable for you to solve such question in first try unless you are familiar with it.
@jarikosonen4079 4 жыл бұрын
To find the right integration method looks most difficult. But this seems maybe the best here.
@tjdowning4263 5 жыл бұрын
Have you ever done a video on the Weierstrass substitution method? It's a cool way to simplify lots of trig integrals.
@blackpenredpen 5 жыл бұрын
Yes I have. : )
@holyshit922 5 жыл бұрын
Yes but he did not finish Euler's substiutions which are closely related to Weierstrass substitution He did not finish Euler substitution because he showed one but there are three of them He has also Ostrogradski method for isolation rational part of integral which may be useful after Weierstrass or Euler substitution
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