I could do with some help on this integral. I didn't have any problems with part a) and b), I'm stuck on part c).
Edit: the integral is
I worked out
if you still care.
For all positive integer values of n.
Let's show that
We have for :
Now, for :
So, we have
Therefore, hence and hereftofore:
We get so that
I just noticed. I used Pi instead of Pi/2 all this time. Oh well. Alas.