# The area under the curve y=e^-x between x=0 and x=1 is rotated about the x axis find the volume?

##### 1 Answer

Apr 10, 2018

#### Answer:

Volume is

#### Explanation:

Let us see the graph of

graph{e^(-x) [-2.083, 2.917, -0.85, 1.65]}

To find the desired volume the shaded portion (shown below, will have to be rotated around

As volume of a cylinder is

and hence volume would be

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