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Question Number 101014 by Rohit@Thakur last updated on 29/Jun/20

Show that  ∫_(−∞) ^(+∞) (dx/(1+(x+tanx)^2 ))   =   π

$${Show}\:{that} \\ $$$$\int_{−\infty} ^{+\infty} \frac{{dx}}{\mathrm{1}+\left({x}+{tanx}\right)^{\mathrm{2}} }\:\:\:=\:\:\:\pi \\ $$

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