Trigonometric integrals - sin^mcos^n, odd m (KristaKingMath)

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Learn how to find the integral of the product of a higher order sine function and higher order cosine function. In this particular example, we'll talk about the method for finding the integral when sine is odd and cosine is even.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

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It's true, I've only done the basics of vector calculus so far. Looking to dive into more this next semester.

kristakingmath
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Missed you too! :) Uploading videos may be sporadic these next couple of weeks, but hopefully I'll get a schedule going again after that.

kristakingmath
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Aww thanks! I'm glad you liked it. :)

kristakingmath
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Flippin fantastic!! Bravo!! I applaud in your direction!

mutalix
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I have used your videos all the way through Multivariable Calculus, and I have Aced all my math courses in college. You explain things, so very, well!

MK-kqmi
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Nice! Finally you are back!
:)
Learning daily is odd without your video.

ThePinoyMamba
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Merry Christmas and happy new year to you! :)

kristakingmath
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thank the lord I found this video, you could not have explained it any better!!! :)

Gmanation
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Extremly good explaination! Merry Chrismas and a happy new year.

Thanks once again.
Yusuf

MrYusufgovani
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As always, I love your videos ! Thank you for doing this Krista!!

MK-kqmi
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Awesome videos! I have been having trouble with integrals but thanks to you I´m almost over them xD! Thank you very much!!

warlordoffranks
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omgoodness! you are the reason I might not fail my test tomorrow afterall! THANK YOU!!!!

dianamejia
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Krista is making the classroom obsolete!

hg.
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Thank you, you've helped so much!

TheAndreamcdonald
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You have helped me tremendously! I was curious. I can't seem to find a problem relating to sin^mcos^m, m=odd. n=even. Is there a special way to do those forms of problems as well? Thank you so much for what you do!

kristensmedbron
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ha... ya I just never really got into physics. Maybe someday! :)

kristakingmath
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thanks for the videos, they are a huge help. I cant figure out how u got U^4 in (1-〖2U〗^2+U^4) at 5:41 in the video. I keep coming up with U^2. 

theenfield
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thx for your video
but a the you end when you do a substitution the pi over 2 becomes 0 and the 0 becomes 1 you could just evaluate the integral betwen 0 and 1 ( but you have to multiply by -1 cuz the integral of something betwen a and b ist minus this integral betwen b and a ) isn't it ?
great work btw :)

zedacht
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I watch all your videos even if I don't need to.

rgrds
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Your videos are fantastic! I love how extensive your approach is with the total number of videos that are slight variations of each concept to really give a learner a sense of the situations they can encounter.

A small note though, shouldn't it be 11/12 instead of 1/12 at the end when you are evaluating the integral?

chancepance