I "need" you, MHF.

I would like you to verify the answers I got (I can't trust Mathematica) and help me with the 2 last problems.

Find the derivatives of the following integrals :

1) . I got .

2) . I got .

3) . I don't know how to start this one.

4) . I am not able to do this one. But I have started something : I wrote as a composition of 3 functions, that is .

.

.

.

... I couldn't find it. I guess I'm already wrong writing . All those variables confuse me a lot!

.

I wanted to use the chain rule for this one. would be . I'm not even sure if this is right.

Also, I may post one more derivative of an integral.