Ok I’ll give integration by parts a try thanksWhat topics have you learned recently that you might use?
I tend to expect something like this to use integration by parts (though it isn't immediately obvious how to use it here). Can you make a start and show your work? Even work that is definitely wrong can be useful in helping you.
Yeah I tried that but the algebra got kinda messy so I gave up but I’ll try it again. Also shouldn’t the power be x^(2p+2) rather than x^(2p+1)? I just want to make sure that I’ll be doing it rightIt's a little messy but can you write out [math]\dfrac{1}{ x^{2p} (x^2 - 1) }[/math] and [math]\dfrac{1}{ x^{2p + 1} (x^2 - 1) }[/math] in terms of partial fractions? The problem becomes relatively easy, so long as you take the time to get the algebra straight.
-Dan
I accidentally cropped out the top part of the picture is allHi,
Did you really think that we could have helped you without know the integral?
Can you compute the integral for I0? Just solve the integral with p=0. Then try to compute the integral for I1. See if you can find a and bp. If you can't then do you do to compute I3.Hi I’m struggling to get started on this question. I know how to do part ii) but I’m really not sure on part i). Any help would be much appreciated View attachment 19102