Double integral and reversing order

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Homework Statement


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


Homework Equations


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


The Attempt at a Solution


I don't really understand how to do this question
 
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Big hint. You can write the numerator as
[tex]\int_x^{\pi x} \frac{1}{1+t^2} dt[/tex]
Now follow the rest of the problem suggestion.