Hi all, here's my question:
Find the volume of the solid formed by rotating the region enclosed by
y=e^(2x) + 1, y=0, x=0, x=0.2
about the y-axis.
My attempt at a solution:
V = pi int{ x = 0 to 0.2} [ (e^(2x) + 1)^2 dx]
V= pi int{ x = 0 to 0.2} [ ( e^(4x) + 2 e^(2x) + 1) dx]
V= pi { x = 0 to 0.2} ( (1/4) e^(4x) + (2/2) e^(2x) + x)
V = pi ( [(1/4) e^(0.8) + e^(0.4) + 0.4] - [(1/4) + 1] )
This isn't the right answer though. I'd like to know what I did wrong so I can get credit here and do problems right in the future. Thanks!!!!!
Yes, you're right that should have been .2!
I tried that answer, but the online homework still says it's wrong.
This happened with another problem I KNOW i did right. At least I know I'm doing the problems the right way. I guess I'll have to see my teacher to see why our answers aren't giving me any darn credit.