OK2) . I got .
(By the way, can be computed using )
The integration is done with respect to so one can write and differentiate using the product rule. ( )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.
Using composite functions is the right idea but you can't define since the integration is done with respect to and depends on . You'll have to use . This gives hence . (chain rule)
You've already found but what is ? Remember that . What does correspond to here ?