Question

how do i integrate Sin(x)Cos(x)^2

Answer 1

for this problem you need to use u substitution

Answer 2

i thought so

Answer 3

so should i set u=cosx^2 and du=-2sinx

Answer 4

let \[u=\cos (x)\]
so: \[du=-\sin(x) dx\]

Answer 5

but its cos(x)^2

Answer 6

\[\int\limits_{}^{} \sin(x) \cos^{2}(x) dx=-\int\limits_{}^{} u ^{2} du=-u^3/3=-(1/3)\cos^3(x)\]

Answer 7

+C

Answer 8

thanks

Answer 9

no problem