Evaluate
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Use complex analysis, the answer is . By considering the function . This is Mine 77th Post!!!
Originally Posted by liyi Evaluate Use the following parameter: (The only reason that I'd ever create a double integral is that I can reverse the integration order.) From there you can solve the rest, without problems.
Or we can define Then you can apply the Leibniz's Rule for differentiation under the integral sign. You'd get The conclusion follows.
. But . That means, . Where did I make a mistake? Anyways, you get the idea I am too lazy to check this right now.
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