I found this problem in a textbook, and it seems interesting, but I'm having trouble solving it.

Evaluate this integral twice: $\displaystyle \frac{d}{dx}\int_{-5}^{x^2}\sqrt{1-t}\,dt$ Once, using FTC 1, and again, using FTC 2.

I've got the FTC 1 part (integrate, then differentiate), which would give me $\displaystyle 2x\sqrt{1-x}$. Does anyone have any ideas or help for the second part? I'm stuck on how to apply the FTC.