The region is bounded by y = e^2, y=1/2, x = 0, x=2 and it's rotated around the x axis. I set the disc method up:

V = pi( intergral from 0 to 2( (e^x)^2 - (1/2)^2 )) which i calculated to equal 82.621

With the shell method i did:

V = 2pi( intergral from 1/2 to e^2 ( (y)(2- ln(y)))) which i got to equal 83.255

I cannot find what is wrong and it's not rounding, can you help?
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