Asked by Alex
Describe the solid whose volume is represented by the following definite integrals.
The integral of 2pi(x-1)e^x from 2 to 7.
The integral of 2pi(x-1)e^x from 2 to 7.
Answers
Answered by
Steve
Looks like the curve y=e^x on the interval [2,7] rotated around the line x=1.
I assume you meant to include dx in the integral.
Since the volume of a shell of thickness dx is 2πrh dx,
if r = x-1 and h=e^x
that fits the bill.
I assume you meant to include dx in the integral.
Since the volume of a shell of thickness dx is 2πrh dx,
if r = x-1 and h=e^x
that fits the bill.
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