I would like to know how to compute the gradient of Function Defined by Integral
For example, Let $\displaystyle f(x(t),y(t))=\int_{0}^{k}g(x(t),y(t))\rm{d}t$ be function and $t\in\mathbb{R}^{+}$ $$\nabla f(x(t),y(t))=?$$ How can I compute the gradient of that function with respect to $t$.