I need a hint for this problem -Definite Integrals-

Homework Statement

Let F(x) = $$\int^{x}_{0}xe^{t^{2}}dt$$ for $$x\in[0,1]$$. Find F''(x) for x in (0,1). Caution: $$F'(x)\neq xe^{x^{2}}$$

The Attempt at a Solution

I just need a hint. I know what F"(x) is already (solution was given), but I'd like to find F'(x)

Thank you

M

Dick
Homework Helper
Your derivatives are with respect to x, right? Look up the Leibniz integral rule.

Thanks for your reply. This is from an Analysis course so we didn't cover Leibniz's integral rule. Can you offer any additional hints?

Dick