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|dw:1435595958782:dw|

Is there a graph you are suppose to give us?

That's all the question says.

ok, so you have to integrate that from x=1 to x=e

the regeion is from x=1 to x=e

so do integral of lnx from 1 to e

\(\Large\color{slate}{\displaystyle\int\limits_{1}^{e}{\rm Ln}(x)~dx}\) like this.

So just set it up and solve it

yup

you know the integral of ln(x) right?

Yes xlnx - x

yup, that is right.
Now you have to plug in the limits of integration.

Volume? Do you mean that the region we drew is rotated around some line?

Yep exactly that