Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.
y = 2ex, y = 2e−x, x = 1; about the y-axis

I will try to sketch this for y'all myself, here in a moment. And I will be giving out a medal here as usual.

The answer I current have, which is incorrect, is:
$$\huge \frac{4 \pi r e^1 - 4 \pi r}{e^1}$$

Question

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.
y = 2ex, y = 2e−x, x = 1; about the y-axis

I will try to sketch this for y'all myself, here in a moment.  And I will be giving out a medal here as usual.

The answer I current have, which is incorrect, is:
$$\huge \frac{4 \pi r e^1 - 4 \pi r}{e^1}$$

anonymous · Answer

Ugly as heck, but that's the best I can draw this one I think
|dw:1340393741918:dw|