Homework Statement
Integrate: ∫e^∛x
Homework Equations
The Attempt at a Solution
this is my attempt but I keep getting stuck
∫e^∛x u=∛x
du=1/(3x^(2⁄3)0 dx
3x^(2⁄3) du= dx
3∫e^u x^(2⁄3) du
After this step I have tried integration by parts and a second...
Homework Statement
Integrate g(x,y,z) = y + Z over the surface area of the wedge in the first octant bounded by the coordinate planes and the planes x = 2 and y + z = 1.
Homework Equations
see below
The Attempt at a Solution
see below
I have this same problem on my work. I got those limits and ended up with some crazy integral by the time i got to dx that I couldn't make sense of it anymore.
I have been looking at these 3 problems for 2 days now and have gotten practically nowhere. Help please!
1. Find the volume V of the solid bounded by the graph of x2 + y2 = 9 and y2 + z2 = 9.
I know that both equations are cylinders on different planes and that I need the intersection. I...