Homework Statement
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y = x^(6), y = 1 about y = 2
Homework Equations
The Attempt at a Solution
So i drew a picture and found the region to be fin shaped from 0 to...
Thank you very much. So the first one becomes \int7/2u du then 7/2ln(x^2+1) after taking the anti derivative and substituting x^2+1 for u. Then the second part becomes arctan x. So would the final answer be (7/2)ln(x^2+1)+arctan(x)?
Homework Statement
Evaluate the indefinite integral:
\int7x+1/x^2+1 dxHomework Equations
The Attempt at a Solution
My first attempt at the solution was to try using substitution. I set u=x^2+1. so du=2x dx and x=sqrt(u-1). Then I rewrote the integral so it is \int7du/4usqrt(u-1). This is...