compute the following
(a) d/dx[ integrate(x to e^(x^2)) (ln(t))dt]
(b) d/dx[ int (2 to e^(x^2) )(ln(t))dt]
this function is on the entire real domain.
You can consider this function as a composition of functions.
Since, is differenciable everywhere and is differenciable for for that is the fundamental theorem. Thus,