Integration, change of variables

Hi

I have the standard integral

But need to find what

is using the expression above

I have found on the internet that it is but can't see how to get it.

I am assuming the use of changing the variable but can't see how to go about it.

Thanks, James

Re: Integration, change of variables

Try .

Re: Integration, change of variables

I think he means to substitute , which should transform your integral into the standard integral.

- Hollywood

Re: Integration, change of variables

Thanks.

I can see how we get the substitution when we know the integral equals , but how would we go about it not knowing what it equalled?

Thanks

Re: Integration, change of variables

Now make the substitution and note that still goes to and when does. Then the integral becomes

Re: Integration, change of variables

Got it, thanks all.

James