Double Integral Homework R1 & R2

Mdhiggenz
Messages
324
Reaction score
1

Homework Statement



23wlkes.jpg




Homework Equations





The Attempt at a Solution



The question is in the picture, the new integral I got was

R1:0≤y≤x

R2:0≤x≤1

However the answer is
R1: is inner integral R2: is outer integral

I drew a graph showing my thought process.

R1:0≤y≤x

R2:0≤x≤√∏
 
Physics news on Phys.org
The double integral says y goes up to root pi. What does the inner integral look like when y is 1.5, say?
 
Wouldn't X be 1.5 as well, since x=y?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top