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anonymous
 5 years ago
how do i integrate Sin(x)Cos(x)^2
anonymous
 5 years ago
how do i integrate Sin(x)Cos(x)^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for this problem you need to use u substitution

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so should i set u=cosx^2 and du=2sinx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let \[u=\cos (x)\] so: \[du=\sin(x) dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{} \sin(x) \cos^{2}(x) dx=\int\limits_{}^{} u ^{2} du=u^3/3=(1/3)\cos^3(x)\]
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