Is the supposed to be there? Otherwise you have
Hey, I was wondering if anyone could help me with the following integration:
integrate 1/(1+tcosx) wrt x from 0 to pi. I know you have to make the substitution u=tan(x/2), but I've been trying for ages and can't seem to get the answer. =(
Thanks in advance!!
By substituting , we have :
So (u was just a dummy variable).
I have to think how to continue...
I think I finally found it (after multiple careless mistakes )
You can note that this latter integrand is symmetric with respect to
We know that . So :
Now use Weierstrass substitution : , where . -->
But then, we know that an antiderivative of is
Note that everything is okay because