Volume of a Region around Y-Axis

[rj686]

Express the volume of the solid fromed by rotating the area around the y-axis. THen evaulate the Integral from x=[0,2]
y=x^2
y=-x


sorry this is kinda basic, but i have a calculus final tomorrow, and i forgot my book at school.

 

[galactus]

This reply may be a little belated since your test may be over by now, but

you can use shells.

\(\displaystyle \L\\2{\pi}\int_{0}^{2}{x(x^{2}+x)}dx\)