Evaluating a Path Integral: x^2+y^2+z^2

[jinksys]

Homework Statement

Evaluate the path integral $$\int (x^2+y^2+z^2)dr$$ from a =(0,0,0) to b= (3,4,5).

Homework Equations

The Attempt at a Solution

I'm lost. Had the dr been a ds I could do it, but my calculus book only deals with situations where $$\int F.dr$$.Edit: I figured it out, it's been a while since I've had calc 3.

I had forgotten what r represented. r = xx^ + yy^ +zz^.
You then multiply dr by x^2 + y^2 + z^2 and go parametric.

 

[lanedance]

is the path a straight line?

as it may also help to note the spherical symmetry r^2 = x^2 + y^2 + z^2