If anyone could help with the following problems, I would greatly appreciate it. I will explain what I have done beneath the problems in case I am going in the right direction.
Find the volume of the solid generated by revolving the region bounded by the lines and curves about the x-axis.
1. y = sec x , y = square root of 2 , -Π/4 ≤ x ≤ Π/4
I set R = square root of 2 and r = sec x tan x
I wasn't able to integrate sec^2 x tan^2 x (if I was on the
2. y = x^2 + 1 , y = x + 3
I set R = (x+3) - (x^2 +1) and r = 1. I don't know how to find the
intervals of integration.