Find the volume of the solid formed by rotating completely about $x$-axis the area enclosed by a curve.
I drew the curve and the area formed it is between $-2$ and $0$ (the rest of the curve after zero goes to infinite)
I plug in the values (as shown bellow) and I get $-23\pi$ the correct answer should be $128\pi/105$. What am I doing wrong here? thank you
UPDATE: the region bound is actually between 2 and 0 not -2 and 0