\(\displaystyle \frac{d}{dx} \int^{x^{3}}_{3x} (t^{3}+1)^{10} \ dt = \frac{d}{dx} \Big( F(x^{3}) - F(3x) \Big) \) where F is an antiderivative of \(\displaystyle (t^3+1)^{10} \)
Thanks a lot. How would you do it in a form like this: d/du( ∫ v to u (t^3 + 1)^10 dt )du/dx, keeping the integral sign, and subbing in variables for the lower and upper limits?