Yes, they are the same.

]]>These two integrals are identical...

]]>Alpha has a time limit. I do not think those two integrals are the same so something is wrong somewhere.

]]>(ii) Show that, for a < b,

where

and ."I have done the first part and got

which is correct (according to WolframAlpha). But the second part of the question confuses me. I have done this:

Let x = (b - a) - cosθ, then dx = sinθdθ

and I have ended up with this:

but I do not know where to go from here. Help would be appreciated.

]]>