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