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$\int_{- \sqrt{3}}^{\sqrt{3}} \frac{dx}{(1 + e^{x}) (1 + x^{2})}$ is equal to

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Correct option is A

I=∫−33 dx1+ex1+x2 Here, f(x)=11+ex1+x2⇒f(−x)=11+e−x1+(−x)2=ex1+ex1+x2 [using property ∫−aa f(x)dx=∫0a {f(x)+f(−x)}dx∫−33 dx1+ex1+x2=∫03 11+ex1+x2+ex1+ex1+x2dxso, I=∫03 dx1+x2=tan−1⁡x03=π3

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∫−33 dx1+ex1+x2 is equal to

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$\int_{- \sqrt{3}}^{\sqrt{3}} \frac{dx}{(1 + e^{x}) (1 + x^{2})}$ is equal to