How can I integrate: ?
The obvious choice seems like substitution, but I got a bit stuck doing it that way:
If it were , then I could just multiply the limits by 2, but since there is a in there too, I'm not sure what to do, since it leaves the expression still with the unknown, , in there.
How can I do this?
Thanks
Hi
That's not really a problem : we also know that hence . As , we can safely choose . Substituting this in , we get that is to say . (Note that the easiest way to find this is to write and to differentiate with respect to .)
Using this substitution, the original integral becomes ... which is not easier to evaluate than the previous one.