Originally Posted by

**amaya** I was given a problem about revolving a region around the x-axis and finding the volume of the region. I know for sure that this is the correct integral for the particular problem: (notation: exp(x)=e^x)

pi(exp(3x)^2)-pi(exp(x))^2

And the upper bound is 2 and the lower bound is 0.

I split the integral into two separate integrals and I was able to solve the second part (pi(exp(x))^2) but I was told by another math tutor that the first integral couldn't be solved by rules of integration, but instead by estimation. She said simpson's rule would be best, but I thought we needed an "n" to solve for that...and even then I'm not quite sure I understand what she meant. Help!

Thanks a lot!