You know that in this forum for LaTeX you use
Code:
[tex]blah blah[/tex] instead of $blah blah$
otherwise you get Invalid Equation message
Anyway I fixed it for you.
Here were your questions:
Then I put the first one into wolframalpha and got
I hope you realise that textbook and exam integration questions are contrived to have nice answers and integration of random functions usually don't.