Question

intergrate sin(x)cos^2(x)dx

Answer 1

\[\huge \int\limits sinx \cos^2xdx\]

Answer 2

For this question we can use a simple u sub, rather than having to deal with identities so use \[u=cosx\]

Answer 3

how wouldi get negative cos?

Answer 4

What do you mean?

Answer 5

the posted answer is -1/3cos^3, but i got 1/3cos^3

Answer 6

\[u = cosx \implies du = - sinxdx\]

Answer 7

oh okay gotcha!