Hi all,

Got the good old exam tomorrow and I'm running through past papers. These two questions are giving me a few problems and unfortunately being multiple choice I don't have worked examples.

Methods we've learnt basically sum up into substitution, partial fractions, t-substitution, integration by parts. If you could solve the problems using these methods it would be greatly appreciated.

Here are the two.

$\displaystyle \int \cos(\ln(x)) dx $

$\displaystyle \int \sin^2 x \cos 3x dx $

Thanks for your help guys.