Trigonometric Integrals

Рет қаралды 1,731,389

3 жыл бұрын

This calculus video tutorial provides a basic introduction into trigonometric integrals. It explains what to do in order to integrate trig functions with even powers and how to employ u-substitution integration techniques and power reducing formulas in order to find the indefinite integral of trig functions with sin and cos. This video contains plenty of examples and practice problems.
Full 1 Hour Video on Patreon:
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Full 1 Hour Video on KZfaq:
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Пікірлер: 615

@TheOrganicChemistryTutor 2 жыл бұрын

Full 1 Hour Video on Patreon: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/3zxSr9g

@farhatfatima1168 2 жыл бұрын

Link does not open

@yousefelshat484 2 жыл бұрын

You have done a great job

@aimenbtwin7403 2 жыл бұрын

Thanks

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@jameskenajkay7022 11 ай бұрын

you"re the best 😍

@pfact0593 3 жыл бұрын

When i graduate.. i wanna thank 'organic chemistry' KZfaq channel it help me a lot thanks man

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@mariasemaan8921 3 жыл бұрын

me too

@landrypreston284 2 жыл бұрын

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I owe everything to KZfaq calc vids, especially those done by this incredible individual.

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@lelomambueliane4915 2 жыл бұрын

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@SebastianDauod 2 жыл бұрын

Its 150am and my exam is at 1030am... pray for me everyone. I use this guy all the time and he always helps. I'll be back to update after the exam UPDATEEE: Hey guys I did not thunk this would get so much traction. I passed the test and did well! Calculus 2 as a whole is hard and I absolutely crushed math throughout my life. However work hard , study with friends, USE A WHITEBOARD, get some sleep too. 👍🙏

@warwick802 Жыл бұрын

update?

@khosroyavari8914 Жыл бұрын

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@thegiftedpotato7582 Жыл бұрын

how was it?

@troyguererro0898 Жыл бұрын

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@noornahar1933 3 ай бұрын

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@bmr2104 3 жыл бұрын

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@primevandal2769 3 жыл бұрын

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@chococo3066 2 жыл бұрын

@@primevandal2769 hello Prime Vandal

@sam-gy7wq 2 жыл бұрын

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Hello Fenris

@danielsosa665 Жыл бұрын

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@farhanishraq5812 2 жыл бұрын

Tomorrow is my exam and i got really confused about these integrations and this channel helped me a lot. Thank you so so so much

@lelomambueliane4915 2 жыл бұрын

Click here to view kzfaq.info/get/bejne/g8eiaJag07zafaM.html

@puddleduck1405 2 жыл бұрын

lol my test is tmrw as well! How did yours go

@keshiamaefernandez8943 2 жыл бұрын

saaaame! T_T

@Netizencommands 2 жыл бұрын

same

@Mr_Chadkoji_Edits_And_Gaming 2 жыл бұрын

Legends studying 1 day before exams

@PunmasterSTP Жыл бұрын

I needed to review how to handle various powers of trig functions in integrals in order to tutor some calculus students, and this video was exactly what I needed. Thank you so much for making and sharing such high-quality material!

@Gnisselb_O 3 жыл бұрын

Thank you very much sir. I was so frustrated in the class, I felt like giving up ; A Nigerian learning calculus in Chinese language 😂😂😂. But you uploaded this video when I needed it the most. I can now happily study calculus.

@chavasinyadalmasgulema885 3 жыл бұрын

Hello

@spicyshizz2850 2 жыл бұрын

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@Anonymous-jj1re 3 жыл бұрын

Thank you for extending the video beyond the original non membership one you put out before

@lelomambueliane4915 2 жыл бұрын

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@Robert-el2mf 3 жыл бұрын

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@fernvill 3 жыл бұрын

And totally calculated

@hectorcorona9257 2 жыл бұрын

the day I graduate I will deadass mention the organic chemistry tutor for helping me throughout high school

@RetroMaster64 5 ай бұрын

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i watched your video on getting straight As. the most interesting tip you made in my opinion was to read the textbook ahead of time. I love that idea, but don't want to use a textbook so I follow along with you before learning about it in lecture. You've thought me just as much, or more than all my recent stem class teachers/profs recently.

@lelomambueliane4915 2 жыл бұрын

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@georgesadler7830 2 жыл бұрын

Professor Organic Chemistry Tutor, thank you for another fantastic video/lecture on Trigonometric Integrals in Calculus Two. These integrals are built off of Trig Identities and pattern recognition. All students in Science and Engineering should memorize all the Trigonometric Identities from Trigonometry. This is an error free video/lecture on KZfaq TV with the Organic Chemistry Tutor.

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Is this calc 2 material?

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for me yeah@@Rushman666

@tavistafford8010 11 ай бұрын

@@Rushman666 Yeah it is. I am in Calc 2, and we are doing this on our third week of class.

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@@Rushman666 i attend GSU and this is in fact Calc 2 material. Third week of class.

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@@Rushman666yes, this is calculus 2.

@matthewregan5095 Жыл бұрын

I have my calc 2 final in less than 12 hours… last minute studying at its finest 😍 Everyone wish me luck please cause I’m gonna need it

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@jimmeneses988 Ай бұрын

Currently taking the integral calculus summerclass in mechanical engineering and the trigo seems so hard to absorb in just small span of days but you're videos always making things so much clear and straight to the point. I will be forever thankful to this channel as it helped me to understand mathematics and science in my highschool years up until my college life now.

@FLgrown14 3 жыл бұрын

Thanks man! I’m reviewing for my final and this is super helpful!

@lexihunsucker7067 3 жыл бұрын

ngl these make more sense than my professor's notes, thanks my dude you're saving my grade :D

@diags_1109 2 жыл бұрын

well maybe you got it to a :C now

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I just had a test yesterday, and I actually feel confident that I did the problem right.

@SmellyUnfortunate007 3 жыл бұрын

@Aaron Stipek ?

@DuckGod00 Жыл бұрын

It’s 12pm and the test is at 1pm, wish me luck 😭

@hanzsintim 9 күн бұрын

How did it go

@stayrigo 8 ай бұрын

This is my last highschool exam. Thank you for all your help throughout the years can't wait to come back for UNI content❤

@brandoncarrillo7486 4 ай бұрын

I did not understand this during my class so Thank You a lot!!!. I feel like a pro now 😎

@user-bi5gh8no6q Жыл бұрын

you're my go to for all things maths - thank you so much!! saving me yet again

@mridulboro7467 2 жыл бұрын

This is awesome. Thanks alot sir. I was struggling with those trig function. Now its clear...

@bhaskarroy-jee8482 2 жыл бұрын

Thanks it will definitely help me in my JEE preparation as well as my class 12th board exam. Love from india (:

@madsgrimholt2904 Жыл бұрын

Great video! I was completely stuck on a similar problem to one of these... Thanks dude!

@user-ve7no9tj7c 2 жыл бұрын

in the exercise at 14:00 (sin^5x*cos^3x*dx), if you use u=cosx and du=-sinx*dx, is the answer → - cos^4x/4 + cos^6x/3 - cos^8x/8 + C ?

@user-cp1lo8sn9u 4 ай бұрын

i did it the same way and i got that as the answer 😭

@jamesdesantis9420 2 жыл бұрын

Great explanations - very thorough!

@ThePiMan0903 Жыл бұрын

Thanks for this video The Organic Chemistry Tutor! It was really helpful!

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That's what I was looking for. Thank you.

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Am grade 12 student.and with out this man I couldn't survive high school.cause all my teachers doesn't even know what they are teaching.i some times wonder if they know what they are talking about .but thanks for you i can understand the basics.may God bless you.👏👏👏👏👏

@lelomambueliane4915 2 жыл бұрын

Click here to view

@lelomambueliane4915 2 жыл бұрын

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You taught me at a good flow rate.this is the best!!

@Rose-rp6sx 4 ай бұрын

mechanical engineering major here. thank you for this video, it really helped me out a lot!

@christopherteo4446 2 жыл бұрын

your my hero without your videos I can't survive my calculus 1 and 2

@kagishokhumisi4565 3 жыл бұрын

Now everything is clear Thank you very much Sir

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How to thank the people who do like you. There is no one in this world who is talented just like you it is amazing.

@Jujo1 3 жыл бұрын

Hey man please make a separate playlist so that it's easier to find the right lecture at the right time, make a different channel playlist for all integrals..... Great work man big fan!!❣️

@farechildd 3 жыл бұрын

He's got a calculus playlist that's in order of how it is typically taught. You should be able to follow along pretty well with that

@farechildd 3 жыл бұрын

It's called "New Calculus Video Playlist" and integrals start at video 127.

@lelomambueliane4915 2 жыл бұрын

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@danieltracton3888 2 жыл бұрын

you are literally the patron saint of all science students.

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Like the way you explain this Mathematical concepts. I like you and be blessed. You always my teacher in this area of calculus.

@bestyoueverhad.2408 3 жыл бұрын

You and TrevTutor are the best here on YT.

@farhatfatima1168 2 жыл бұрын

Thank you so so much for making these videos which help me alot n even more than my professor....may God bless you sir

@lelomambueliane4915 2 жыл бұрын

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@barerparsley3311 Жыл бұрын

i just realized i literally proved the power reducing formulas in class today while trying to find the integral of sin^2 and cos^2 thats sick

@princechegwe 23 күн бұрын

Thanks a bunch man. You have simplified calculus for me 😁.

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thank you very much brother, May God really bless you ,I love your lessons

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Thank you for making Mr graduate with an A in advanced calculus

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Your videos are really helping,,I like them👍

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this man has videos on everything, thank you!!!

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This has really helped me, thanks to you sir👌

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@johnvincentjimar8257 2 жыл бұрын

Again, thank you! I just answered my quiz well. This video really helped.

@blenzewdu647 10 ай бұрын

Ultimate life saver before exams!

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Such a helpful source for learning!

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So i have this mid exam next week and suddenly you've uploaded this video thaaaaaaaaaaaanks bro you just saved me

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Same! This stuff is so confusing sometimes

@theuberman7170 2 жыл бұрын

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good delivery of concepts....thank you so much

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Thank you alot for that good explanation......thx alot because you have made me understand to the maximum.......💪💪💪🔥

@desiledolapo9012 3 жыл бұрын

Can you do a video for crystal systems pleaseee😭😭😭 Thanks for every one of your video btw, they help a lot!

@lelomambueliane4915 2 жыл бұрын

Click here to view kzfaq.info/get/bejne/g8eiaJag07zafaM.html

@lyndseystrait1513 5 ай бұрын

List of 0:36 trig identities, 1:12 double angle identity, & 1:47 power reducing formulas to memorize

@everchann Жыл бұрын

how do you know when to use power reducing, half angle, double angle, formulas and pythagorean identities?

@masmirahintannoviana8940 2 жыл бұрын

Thank you sir... it's really help me to solve the trigonometry integration

@lelomambueliane4915 2 жыл бұрын

Click here to view kzfaq.info/get/bejne/g8eiaJag07zafaM.html

@niellyndeklerk2433 3 жыл бұрын

This guy is an absolute legend!!!!!!!!

@kawaldhillon9185 2 жыл бұрын

Thank you so much bro for your all calculus videos only because of you I done my graduation thanks a lot brother god bless you 🙏🙏😇😇

@aiman_shakir Жыл бұрын

Thank you so much for the explanation!!🥰

@selmarahal1458 2 жыл бұрын

Dude saving my life more than a snickers on hypoglycemia , one day ill pay you back

@makariousmusic Жыл бұрын

Thank you very much okay. God richly bless you. All your videos are very helpful in my learning

@anoopgill7245 Жыл бұрын

at 14:00 why can't we split up sin instead? Does it work to do (1-cos^2)^2 for sin^4 and then have cos^3 and the other sign left? Then we could use u as cos and cancel the other sin out?

@vigoolz241 Жыл бұрын

you can do it but it's more work

@kara5202 Жыл бұрын

@@vigoolz241 I did it but the answer is not the same. If you input the answer to a drawing system they follow the same path but with the cosine its -1/24 lower than the with the sin version at all times. So the answer is incorrect...

@upasanaranchod4403 Жыл бұрын

You have helped me so much, you have no idea ❤️

@Algebrainiac 6 ай бұрын

9:00 what a coincidence I am having the exact same issue with this problem and I’m working on it rn! Thank you!!

@jacobdeluna6773 2 жыл бұрын

Your videos really help, I just have a question about something similar. My problem is cos^5x • sin^-3x I’ve done the work all the way through to where I substituted my sinx back in for u but part of my answer has -(2sin^0x)/0 this is confusing because this makes part of my answer undefined. And idk if that means I did a step wrong or if there’s something specific I’m supposed to do. Please help

@mcgyverlouw6372 2 жыл бұрын

Hi there I saw your question only now so i did i and you can check it out. cos⁵xsin-³xdx =cos⁴xsin-³xcosxdx =(1-sin²x)²sin-³cosxdx Now let u=since hence du=cosxdx. =(1-u²)².u-³du =u-³(1-2u²+u⁴)du Next distribute the u-³ remember to add the powers of u for the last to terms inside the parentheses. =(u-³-2u-¹+u)du Now integrate with respect to u... integrating the second term in the standard way is to add 1 to -1(which equals 0) the initial term is than divided by zero and the variable raised to the power of zero. So the integral of -2u-¹ is (0)⁰ which is undefined. Recall that the derivative of ln(x) is 1/x or x-1. So the integral of -2u-1 is -2ln|u|. Here is the final answer with since substituted back in for u =-1/2(sin-²x)-2ln|sinx|+1/2(sin²x)

@Jastelz 3 жыл бұрын

Thanks man You're a king!

@shano494 7 ай бұрын

guys when do we know we use the U rule? and a question why did we sometimes in the du=dx part took the thing with dx under du and sometimes we didnt ?

@jn2869 2 жыл бұрын

so in the problem in 14:37 I did it by making cos the U and got -1/4cos^4x+1/6cos^6x+c, would that be wrong as I did not use sin as the U?

@ziamandary3397 2 жыл бұрын

THANK YOU SO MUCH YOU ARE A LIFE SAVER

@yapsejaiteh7 2 жыл бұрын

Thank you professor. Integrate (sin^5 X cos^3 X dx) at 15:00 what about if you split sin^5 X to give you ( sinX sin^4 X ) instead of cos^3 X and make ( u= cos X). Here what I figured out is that whichever you make (u to b equal to) is the one to be on the final answer after integrating. I got (-1/4 cos^4 X + 1/3 cos^6 X - 1/8 cos^8 X + c) as my answer. Can you explain me why the two methods show different answer please

@yapsejaiteh7 2 жыл бұрын

Please Sir those it mean that in this question the final answer can be in (sin X or cos X ) depending on which one you split

@greenvivepharmacy3214 2 жыл бұрын

This is great video but I'm still a bit confused. Concerning the I substitution we get different answers when we sub u for the different trig identities in a question. How do we really knwo which one to substitute as u . Please help with this

@cyberzod99 Жыл бұрын

Thanks this is really helpful.

@nhaz652 Жыл бұрын

Hello. At time stamp @8:27 , what if we make the u=sin x? Thank you

@isacoto948 Жыл бұрын

at 30:25 he uses the rule that (1/x)=lnx, but isnt this rule only meant for linear equations? cosx is not a ljnear equation so we shoulnt be able to use it at all, or is there an exception when we use the u-substitution method?

@Study-ns8ne Жыл бұрын

thanks bro for those super amazing videos!!

@JesusMartinez-zu3xl 2 жыл бұрын

thank you so much! this helped a ton

@kengabarakawyclif2394 2 жыл бұрын

You are amazing....from AFRICA...KENYA

@amerhasandomato6251 2 жыл бұрын

You helped me once again, thanks!! Cheers!

@silentintegrals9104 2 жыл бұрын

nice, stay curious

@taliagibson2190 5 ай бұрын

For the question integral of sin^2 x dx why do you divide sin(2x) by the derivative of 2x? (ie 2) instead of multiplying by two?

@Mayandajohn2005 2 жыл бұрын

Cheers man you made me to become the God of math

@silentintegrals9104 2 жыл бұрын

nice, stay curious

@mandarinD 3 жыл бұрын

Thank you!

@snoobyplayz7234 3 ай бұрын

Thank you, it is very helpful!

@godhera5116 2 жыл бұрын

Thank you from Mauritius 🇲🇺

@dapha1623 Жыл бұрын

omg....few days ago I legit spent almost half an hour solving the advanced type of questions. I HATED solving those equations. Now I enjoy it sm 😀😀😀 surprise surprise, learning from the basic do wonders.