Question: Leonhard Euler was able to find the exact sum of the series in Problem 5. In 1736 he proved that In this problem we ask

Leonhard Euler was able to find the exact sum of the series in Problem 5. In 1736 he proved that
n? 6. In this problem we ask you to prove this fact by evaluating the double integral in Problem 5. Start by making the change of variables

и — и и +и y = /2 х%D /2

This gives a rotation about the origin through the angle π/4. You will need to sketch the corresponding region in the uv-plane.

n? 6. + y = /2 %D /2

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