Find df/dx, f(x,y)=integral of sqrt(1-t^3)dt from x^2 to x^3.
Since it is asking to find the derivative with respect to x,should I regard t as a constant?
The Attempt at a Solution
I tried to find the antiderivative of the integral sqrt(1-t^3)dt and then differentiate with respect to x.
However, I'm stuck in finding the antiderivative of the function , I tried using substitution u=1-t^3, du=-3t^2 dt. But that doesn't seem to be going the right direction.