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## Homework Statement

Evaluate the integral [itex]\int[/itex]0 to 1[itex]\int[/itex]y to 1[itex]\frac{1}{1+x^4}[/itex]dxdy

## The Attempt at a Solution

I managed to do the first one, from y to 1, using partial fractions and then some substitution, and I get a huge answer involving some logarithms and arctans that don't simplify. I've tried putting it into some math software to get an idea of what my answer could look like, but the results are hugh ugly formulas that a human being just couldn't do (or at least not this one). Obviously I am doing something wrong. Is there a way to evaluate without computing the indefinite integrals? Or maybe to switch the x and y somehow? Could it be put into polar form? I really don't know what to do here, I've spent hours computing the first integral only to end up with something harder...