The value of \( \int_{1 / e}^{\tan x} \frac{t d t}{1+t^{2}}+\int_{1...
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0The value of \( \int_{1 / e}^{\tan x} \frac{t d t}{1+t^{2}}+\int_{1 / e}^{\cot x} \frac{d t}{t\left(1+t^{2}\right)} \) is
(a) \( \frac{1}{2+\tan ^{2} x} \)
(b) 1
(c) \( \pi / 4 \)
(d) \( \frac{2}{\pi} \int_{-1}^{1} \frac{d t}{1+t^{2}} \)
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