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∫0∞ln(1+x2)1+x2 dx\large \int_0^\infty \frac {\ln\big(1+x^2\big)}{1+x^2}\, dx ∫0∞1+x2ln(1+x2)dx
Find the value of the closed form of the above integral. Give your answer to 3 decimal places.
Bonus: Try to solve this problem without using contour integration.
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