# How do you find the antiderivative of #int cos^3xsin^2xdx#?

Factor:

Expand:

Reverse the substitution:

Hopefully this helps!

By signing up, you agree to our Terms of Service and Privacy Policy

To find the antiderivative of ∫cos^3(x)sin^2(x)dx, use the substitution method. Let u = sin(x), then du = cos(x)dx. After substitution, the integral becomes ∫u^2 du, which is straightforward to integrate. Finally, substitute back u = sin(x) to obtain the final antiderivative.

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7