Double integral and reversing order

Nope
Messages
100
Reaction score
0

Homework Statement


http://img10.imageshack.us/img10/3390/55486934.jpg


Homework Equations


This is what I was thinking: tan−1(∏x)−tan−1(x)=∫^{g(x)}_{f(x)}h(y)dy


The Attempt at a Solution


I don't really understand how to do this question
 
Last edited by a moderator:
Physics news on Phys.org
Big hint. You can write the numerator as
\int_x^{\pi x} \frac{1}{1+t^2} dt
Now follow the rest of the problem suggestion.
 
Thanks for the hint!
 
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