Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=1+x^-3, y=1,x=4, x=7;
about the x-axis.

I've tried several times using both the disc method and the shell method but I keep getting it wrong :(

Question

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis.
y=1+x^-3, y=1,x=4, x=7;
about the x-axis. 

I've tried several times using both the disc method and the shell method but I keep getting it wrong :(

ganeshie8 · Answer

wat answer u got ?

anonymous · Answer

did you set up the integral?

anonymous · Answer

V = pi ∫[(1/x^3 + 1)² - 1²] dx, x from 4 to 7

anonymous · Answer

I set up the integral like that but when I evaluated it my answer was wrong...

anonymous · Answer

then you probably made an algebraic mistake somewhere. Not because you set it up wrong

anonymous · Answer

You were correct! I finally got the right answer