Comparison test for improper integrals introduction, calculus 2 tutorial

  Рет қаралды 108,202

blackpenredpen

blackpenredpen

7 жыл бұрын

Learn how to use the comparison test to determine if an improper integral converges or not.
The 3 steps to use the comparison theorem for improper integral: what you know, do the check, and draw the conclusion!
Check out example 2: • Comparison test for im...
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Пікірлер: 51
@kellyychann
@kellyychann 4 жыл бұрын
I was honestly so confused and trying to learn math online during this pandemic has just been the worst but this was clear and straight to the point. Thank you!!
@TheAlternatePlan
@TheAlternatePlan 3 жыл бұрын
Little does my university know, you are actually my calc 2 teacher
@blackpenredpen
@blackpenredpen 10 ай бұрын
Check out example 2: kzfaq.info/get/bejne/d9V4aJuTqrjPmYk.html
@thelazerowl6565
@thelazerowl6565 3 жыл бұрын
No one explains calc better than this guy. 10/10
@nicoleng4181
@nicoleng4181 3 жыл бұрын
You're insanely helpful , thank you so much . I understand your teaching so much better than my lecturer
@masterofnone25
@masterofnone25 6 жыл бұрын
dont think ive ever had a video help me this much. Thanks man, great job.
@coolguytoughguy17
@coolguytoughguy17 Жыл бұрын
This video is so informative and helpful! it really helped me on a problem I was stuck on. Thank you!
@jasmynethomas5097
@jasmynethomas5097 3 жыл бұрын
dude you are so awesome! this makes so much sense! thank u!!!!
@zeeshansheray5175
@zeeshansheray5175 7 жыл бұрын
Thankyou Dude! It helped me alot. Pray for me because I 'm having my Calculus final terminal. :"D
@restycomedy1138
@restycomedy1138 3 жыл бұрын
such a life saver holy
@akivagoldberg286
@akivagoldberg286 4 жыл бұрын
damn you are one good teacher, keep up the good work!
@ragadb9826
@ragadb9826 3 жыл бұрын
Man you are the best.
@sugasuga3936
@sugasuga3936 3 жыл бұрын
Thank you dude 😇😇😇✌✌
@sk_4142
@sk_4142 5 жыл бұрын
Instead of cross-multiplying, could you not have just plugged in 1 from the beginning to show that it was true? If you did, g(x) = 0 < f(x) = 1/2
@barisballi70
@barisballi70 3 жыл бұрын
thank you
@kejianshi9196
@kejianshi9196 6 жыл бұрын
why we can cross-multiply? It confuses me , someone explains?
@krejman
@krejman 5 жыл бұрын
why not? everything is positive
@nemrahjanjua5196
@nemrahjanjua5196 4 жыл бұрын
Thank you so much. So helpful!
@mahmoud1511
@mahmoud1511 6 жыл бұрын
I think using limit comparison test is easier than DCT .... But its really an amazing idea ❤
@awesometico
@awesometico 6 жыл бұрын
So just like the direct comparison for series?
@kevinsweeney2809
@kevinsweeney2809 6 жыл бұрын
Thank you so much!!!!
@mr.9754
@mr.9754 3 жыл бұрын
Really like your videos. Instead of cross multiplying, you could also divide (the original) both numerator and denominator by x^2 which gives: 1-/x^2 for the numerator 2x^3 + 3/x + 17/x^2 for the denominator So we see that the numerator is smaller and the denominator is bigger so therefore less than 1/2x^3
@andreamonteroso8586
@andreamonteroso8586 4 жыл бұрын
youre the best so far
@danabanana2195
@danabanana2195 7 жыл бұрын
I enjoyed this
@kianooshmashayekhi2829
@kianooshmashayekhi2829 4 жыл бұрын
thank you finally learned something out of your thousand videos
@SubhamRai5
@SubhamRai5 4 жыл бұрын
Thank you it helped me a lot
@arnoboy96
@arnoboy96 Жыл бұрын
You're the fucking best man
@colt4667
@colt4667 4 жыл бұрын
If the integral converges don't you have to find the value of it ?
@ishueducation9195
@ishueducation9195 Жыл бұрын
What happen when the comparison will fales ?
@MaharaMsefula
@MaharaMsefula 4 ай бұрын
It means you've failed intergrating the function
@AzzahraAdineDivania_
@AzzahraAdineDivania_ 3 жыл бұрын
thank u so muchh
@obo190
@obo190 4 жыл бұрын
You're going to be the reason coronavirus doesn't cause me to epically fail this semester. Thank you Sir Bpen Rpen. Too bad you don't do Physics videos XD
@veehaytch3440
@veehaytch3440 3 жыл бұрын
the organic chemistry tutor has good physics videos :)
@ernestschoenmakers8181
@ernestschoenmakers8181 7 жыл бұрын
Does this integral have an elementary solution?
@sydneym3251
@sydneym3251 4 жыл бұрын
Ernest schoenmakers yes. You could split up the fraction by dividing each numerator by the denim and then solve from there using whatever method you want.
@yope0175
@yope0175 4 жыл бұрын
Wouldn't p technically be -3 as 1/x^3 is the same as x^-3, therefor p < 1 and is divergent?
@1243hsd
@1243hsd 4 жыл бұрын
No, it has to have the form of 1/x^p. So p=3 in this case and would be convergent.
@GammaDigamma
@GammaDigamma 4 жыл бұрын
#riemannzeta
@hassanelbardini9597
@hassanelbardini9597 4 жыл бұрын
brooo, you rock, you should teach in my school.
@NoobaLV
@NoobaLV 4 жыл бұрын
Oh my fucking god ur a saviour. I love listening to your work. Thank you very much for your contribution to all the math noobs
@soner8780
@soner8780 5 жыл бұрын
he is so happy for some reason
@sssunnyclasses615
@sssunnyclasses615 4 жыл бұрын
I am 🇮🇳India n
@Jamelele
@Jamelele 7 жыл бұрын
did you say, Introduction, party paragraph, conclusion? haha
@blackpenredpen
@blackpenredpen 7 жыл бұрын
Maxstar22 I did! Just like writing an essay
@blackpenredpen
@blackpenredpen 7 жыл бұрын
Maxstar22 "body" paragraph btw
@NotYourAverageNothing
@NotYourAverageNothing 7 жыл бұрын
blackpenredpen I prefer party paragraph.
@blackpenredpen
@blackpenredpen 7 жыл бұрын
Can someone give me that time on where I said "body" paragraph? I couldn't find it lol
@Jamelele
@Jamelele 7 жыл бұрын
11:00 :)
@jpcurley25
@jpcurley25 Жыл бұрын
This seems like too much work for this proof. Why can't you just say that this integral is less than x^4/x^5 which converges and be done?
@mokouf3
@mokouf3 3 жыл бұрын
Remember that, comparison Theorem doesn't work for cosine, sine!
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