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anonymous
 5 years ago
How do I find the integral of sin(x)^2
anonymous
 5 years ago
How do I find the integral of sin(x)^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0try integration by parts

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u = sinx dv = sinx du = cosx v = cosx sinxcosx  \[\int\limits_{?}^{?} \cos^2x\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i don't see how thats going to get me anywhere

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry is it \[\sin ^{2}x\] or \[\sin x ^{2}\]???

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\cos ^{2}x=1\sin ^{2}x\] \[\int\limits_{?}^{?}\sin ^{2}xdx=\sin x \cos x +\int\limits_{?}^{?}(1\sin ^{2}x)dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0therefore, the last integral of sin^2(x) can be put to the left hand side.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0giving integral (sin^2(x))=(sin(x)cos(x)+x)/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0would the two integrals divided by each other reduce to 1 though? so it'd be =sinxcosx +1 in the end?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{?}^{?}\sin^2x\] \[\div\] \[\int\limits_{}^{} 1\sin^2x\] = 1?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or is that just improper math? I'm not sure, I dont remember ever dividing integrals.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh wait, I wouldnt be dividng them though, I'd subtract, though I still think I'm missing something where does the 2 in sinxcosx/2 come from?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no, because you need to add integral (sin^2(x)) to both sides, not dividing them, giving 2 times integral (sin^2(x)) on the LHS and cancelling it on the RHS

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh, okay, I get it all now I forgot about separating integrals and what not. This all makes sense.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0My AP calc test is on wednesday, so, reviewing all this stuff is really helpful, but a pain in the retriceat the same time.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0good luck for wednesday.
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