Volume between two curves

[BDO]

f(x)=sin(pi*x) and g(x)=2x^3-8x. R is the region bounded by the two functions. what is the volume of R rotating around y=-4?

 

[Deleted member 4993]

f(x)=sin(pi*x) and g(x)=2x^3-8x. R is the region bounded by the two functions. what is the volume of R rotating around y=-4?

First sketch the functions f(x) & g(x) and the axis of rotation (y=4))

Then calculate the relevant points of intersections.

Please share your work with us.