Posted by Mackenzie on Monday, December 17, 2012 at 12:08am.
Evaluate the integral by changing to spherical coordinates.
The outer boundaries are from 0 to 1.
The middle one goes from sqrt(1x^2) to sqrt(1x^2)
The inner one goes from sqrt(1x^2z^) to sqrt(1x^2z^)
for 1/sqrt(x^2+y^2+z^2) dydzdx
I don't understand how to get the limits of integration. I know for rho it will be from 0 to 1. I want to know the process to get the boundaries for phi and theta since I have a few other similar problems to do.

Calculus  Steve, Monday, December 17, 2012 at 12:31am
you are integrating over the whole sphere, so
0 <= p <= 1 (insideoutside)
0 <= φ <= 2π (whole xy plane)
0 <= θ <= π (toptobottom of sphere)
There must be some examples in your text. And there are surely some online.

Calculus  Mackenzie, Monday, December 17, 2012 at 1:10am
The solution says the the boundary for phi is from 0 to pi as well as the one for theta.

Calculus  Steve, Monday, December 17, 2012 at 4:17am
I'd have to think about it, but you obviously have both halves of the circle and both halves of the sphere.
Answer This Question
Related Questions
 Calculus  Evaluate the integral by changing to spherical coordinates. The outer...
 Calculus  Evaluate the integral by changing to spherical coordinates. The outer...
 Calculus  Evaluate the integral by changing to spherical coordinates. The outer...
 Calculus  Evaluate the indefinite integral: 8xx^2. I got this but I the ...
 Math Help please!!  Could someone show me how to solve these problems step by ...
 Algebra  Evaluate sqrt7x (sqrt x7 sqrt7) Show your work. sqrt(7)*sqrt(x)sqrt(...
 math calculus please help!  l = lim as x approaches 0 of x/(the square root of...
 Mathematics  sqrt 6 * sqrt 8 also sqrt 7 * sqrt 5 6.92820323 and 5.916079783 So...
 Math(Roots)  sqrt(24) *I don't really get this stuff.Can somebody please help ...
 Calculus  Please look at my work below: Solve the initialvalue problem. y'' + ...
More Related Questions