Let R be the region between the x-axis and the graph of [math]y = 8/(x+1)[/math] for x > 0. Let S1 be the solid obtained by revolving R around the x-axis. Let S2 be the solid obtained by revolving R around the y-axis.
a. Compute the area of R using an improper integral
b. Compute the volume of S1 using an improper integral
c. Compute the volume of S2 using an improper integral
The answers that I got were a: diverges, b: [math]64pi[/math], and c: diverges. Are these answers correct?
a. Compute the area of R using an improper integral
b. Compute the volume of S1 using an improper integral
c. Compute the volume of S2 using an improper integral
The answers that I got were a: diverges, b: [math]64pi[/math], and c: diverges. Are these answers correct?