Compute the following integral.
Following Apostol’s hint we multiply the numerator and denominator by ,
Now, we’ll evaluate these three integrals separately. For the first integral, we make the subsitution
This gives us
Therefore, we have
For the second integral… Incomplete.
For the third and final integral in our expression we have
Now, we make the substitution , . This gives us,
This is incomplete. Otherwise, I’ll try to get back to it as soon as I figure out how to evaluate the second integral above…