Leonhard Euler was able to find the exact sum of the series in Problem 5. In 1736
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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 you to prove this fact by evaluating the double integral in Problem 5. Start by making the change of variables
This gives a rotation about the origin through the angle π/4. You will need to sketch the corresponding region in the uv-plane.
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Let x 22 and Y uv We know the region of integration in the xyplane so to find its image in the uvpla...View the full answer
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