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]
Again I am so angry that you do not mention a function on what domain.
But since,
this function is on the entire real domain.
You have,
You can consider this function as a composition of functions.
Then,
Since, is differenciable everywhere and is differenciable for for that is the fundamental theorem. Thus,
Thus,
for .