(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the exact volume of the region bounded by:

y = e^3x

y = e^x

x=0

x=1

Revolved around x axis

2. Relevant equations

3. The attempt at a solution

The partitions will be disks of radius e^3x - e^x and height of delta x.

Therefore, the volume of a partition is

pi(e^3x - e^x)^2 delta x

Integrating this from 0 to 1 gives me a final integral of:

[itex] \pi \int^{1}_{0} e^{6x} - e^{2x} dx[/itex]

Which evaluated for exact gives me:

[itex]\pi(\frac{e^{6} - 1}{6} - \frac{e^{2} + 1}{2})[/itex]

But I am incorrect. Why?

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# Homework Help: Can't get this one

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