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## Homework Statement

Consider the infinite region in the first quadrant between the curve y=e^-5x and the x-axis.

Find area= 1/5 (got this part)

Compute the volume of the solid generated by revolving the region about the x-axis:

Compute the volume of the solid generated by revolving the region about the y-axis:

**2. The attempt at a solution**

I do not understand how to do the last two parts. I tried to do

dV=base*height

dV=pi*x^2*dy

because area of circle is

base= pi*x^2

leaving me with

dv= pi*x^2*(-1/5e^(-5x)

and taking limit from 0 to inifity by taking limit from 0 to b, but i am not understanding how to get the answer. Please advise. I am so lost. Thank you in advance.