Recent content by russia123

It is the area of the triangle formed by O, P' and P. Well, what happens, when I try to solve it is that I need to take the integral of z*sin(theta)^3/6 with respect to theta from 0 to 2pi and that goes to 0 for me.

Homework Statement Given a point P(x,y,z) in a three-dimensional space, let P' denote the projection of P onto the xy-plane and let O denote the origin of the coordinates, and define f(x,y,z) as the area of the triangle. Compute: Integral of the Integral of the Integral of f(x,y,z) under...

Ah, integration by parts is the first thing that comes to mind. Don't know how I missed that.

What I had in mind is expanding the (x-t)^2, and then multiplying everything out, and then I would have 3 separate integrals due to being able to separate integrals based on addition.

I've looking at this and I'm dumbfound as to where to begin. Integrals have never been my strong suit.