Purchase Solution

Triple integral convergence

Not what you're looking for?

Ask Custom Question

Hello. I'm trying to show if the triple integral:
(z^2)/[(x^2+y^2+z^2)^(3/2)] dV converges or diverges over the region:

x^2 + y^2 + z^2 <= 1. And if it converges, to what value?

I am curious as to how I would do this, and how does one generally show if an integral converges or diverges?

Purchase this Solution

Solution Summary

This shows how to determine whether a triple integral converges or diverges.

Solution Preview

Hello and thank you for posting your question to Brainmass!

The solution is attached below (next to the paperclip icon) in two formats. one is in Word XP Format, while the other is in Adobe pdf format. ...

Purchase this Solution


Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.