# Differentiate the function

1. ### JG89

727
1. The problem statement, all variables and given/known data

If $$f(x) = \int_{x^2}^{3x} \sqrt{t^3 + x^3} dt$$ then find the expression for f'(x)

2. Relevant equations

3. The attempt at a solution

Usually I would use the FTC, but since there the variable x occurs in the integrand, I don't know how to differentiate this. Any help?

2. ### micromass

18,848
Staff Emeritus