Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.

y=x^2+3x–10

y=0

about the x-axis.

I solved this problem by first solving the first equation and got [-5,2]. And then I used these numbers and performed the shell method and got my answer.

The answer I got when I did the problem was 69pi.

But when I checked the answer in the book. It said it was wrong. Can someone show me the steps on how to solve this problem?