If \( f(x)=\int_{1}^{x} \frac{\tan ^{-1}(t)}{t} d t, \forall x \in R^{+} \)then the value of \( ...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
Duration: 7:06
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If \( f(x)=\int_{1}^{x} \frac{\tan ^{-1}(t)}{t} d t, \forall x \in R^{+} \)then the value of \( f\left(e^{2}\right)-f\left(\frac{1}{e^{2}}\right) \)
(A) 0
(B) \( \frac{\pi}{2} \)
(C) \( \pi \)
(D) \( 2 \pi \)
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