Question

How does the integral[-sin(x)*cos^2(x)]dx equal (1/3)cos^3(x) + C?

Answer 1

\[-\int\limits_{}^{} \sin(x)*\cos^2(x)dx = \frac{ 1 }{ 3 } \cos^3(x) + C\]
I got a longer result.

Answer 2

did you try doing letting u=cos(x)?

Answer 3

the answer can look different by the way and still represent the same family of functions

Answer 4

but anyways the letting of u=cos(x) will lead to that exact result you are asking about