Thread: Integration Help

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

y = 28x-4x^2, y = 0



about the y-axis.

Originally Posted by My Little Pony

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

y = 28x-4x^2, y = 0

about the y-axis.

find the limits of integration ...

$\displaystyle 28x - 4x^2 = 0$

$\displaystyle 4x(7 - x) = 0$

use the method of cylindrical shells

$\displaystyle V = 2\pi \int_0^7 x(28x - 4x^2) \, dx$