For the first one.
If you're stuck, imagine what is :
You can see that what you have to find is also an expression for :
Now, there's a useful formula :
I'm sure you can finish
Thanks as ever Moo!
I would post the remainder of my method but i've done it on my whiteboard and it won't fit on my scanner.
Whenever I do these, I always try and get the I_n-1 from integrating by parts. This time it didn't work!
Anyone have any thoughts from the second one?
Don't worry! I managed to use the previous method to do the second question. Thanks again moo! =D
Most of the time, you'll have to use integration by parts. But it's quite often straightforward. So if you can't find anything interesting or that blocks you, you have the method of being inspired by the answer :
for example, so find a formula of and prove it equals