1. The problem statement, all variables and given/known data Find the partial derivatives: f(x,y)= integral[x,y] cos(t^2)dt, find f_x(x,y) and f_y(x,y) 2. Relevant equations I know from calculus that the derivative of an integral is the function. 3. The attempt at a solution I found that the integral of [x to y] cos(t^2)dt=sin(t^2)= sin(y^2)-sin(x^2) and then found the partial derivative of this. fx=-2xcos(x^2) fy=2ycos(y^2) I have seen other procedures and I think I'm wrong. Could someone help?