# Thread: double integral help

1. ## double integral help

the problem states:
find the volume of the solid whose base is the region in the xy plane that is bounded by the parabola y=4-x^2 and the line y=3x, while the top of the solid is bounded by the plane z=x+4.

i don't understand how to do this with the plane involved. i'm integrating dydx, or dxdy, i know that. but how do i find the limits of integration? i've drawn out a graph, but the plane is still confusing me here... can anyone help me out?

2. Originally Posted by isuckatcalc
the problem states:
find the volume of the solid whose base is the region in the xy plane that is bounded by the parabola y=4-x^2 and the line y=3x, while the top of the solid is bounded by the plane z=x+4.

i don't understand how to do this with the plane involved. i'm integrating dydx, or dxdy, i know that. but how do i find the limits of integration? i've drawn out a graph, but the plane is still confusing me here... can anyone help me out?
You will not do anything with the plane..
You just integrate it..
to find the limits of the integration draw the region first..