What is the volume of the solid produced by revolving #f(x)=e^xsinpix, x in [0,2] #around the x-axis?

Question

1554 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-18T22:39:50

#pi*int_0^2 e^(2x)*sin^2(pi*x)dx=(e^4*pi^3-pi^3)/(4pi^2+4)#

enter image source here

And yes, that was friggin wacked.

Here's a Maple rendering of the solid....also, equally wacked.
enter image source here

Here's the 2D rendering in the Cartesian plane!
enter image source here