Is there a way to help Maple evaluate this triple integral?

November 21 2010 by widmer 18
false

1


This is for a calculus lab.  I need to show my students how to do this with Maple.

 

int(int(int(VectorCalculus[`*`](VectorCalculus[`+`](r^2, VectorCalculus[`*`](r, cos(theta))), r), z = 0 .. sqrt(VectorCalculus[`+`](a^2, VectorCalculus[`-`](r^2)))), r = 0 .. a), theta = 0 .. VectorCalculus[`*`](2, Pi))

It only does the inner integral and gives  int(int(int(VectorCalculus[`*`](VectorCalculus[`+`](r^2, VectorCalculus[`*`](r, cos(theta))), r), z = 0 .. sqrt(VectorCalculus[`+`](a^2, VectorCalculus[`-`](r^2)))), r = 0 .. a), theta = 0 .. VectorCalculus[`*`](2, Pi))

Derive could do this one.  The answer is  (4*pi*a^5)/15 .
calculus
 
Loading Comments & Answers

You must be logged into your MaplePrimes account in order to post a comment. If you don't have an account, you can create an account here.

     

Forgot Your Password? Create an Account