I would be very grateful if someone could help me with finding the integral for this little fellow...
I have tried the few integration methods I know of (I've just finished A-Level), such as substitution and by parts, but they didn't appear to work. In addition, I put this into Wolfram's online integrator, and it came up with answer in a form I didn't understand, something to do with hypergeometric functions. I tried reading the article on them, but I couldn't see how to apply it to this problem. Are hypergeometric functions necessary for tackling this problem? They certainly look very confusing...
Thank you in advance!!
Originally Posted by j_clough
I might have time later to give some details if no-one else has.
It's a standard form.
Notice that in your integral, it is actually:
The substitution is probably a little easier.
Originally Posted by Air
The reciprocal substitution can also be used and leads to the standard result quoted by chops.
It's not difficult to show that the two answers are equivalent.
Originally Posted by Chop Suey
Ahh... je comprends! I'll remember this double substitution technique.
Thank you very much for all your replies.