definite-integral

Question: $\int_{0}^{\infty }{\frac{x\,dx}{(1+x)(1+{{x}^{2}})}}=$



1) $\frac{\pi }{4}$
2) $\frac{\pi }{3}$
3) $\frac{\pi }{6}$
4) None of these
Solution: Explanation: No Explanation
Summation of series by definite Integration

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