MCQ
$\int \frac{d x}{e^x+e^{-x}}=$ _________ + C.
- A$\tan ^{-1}\left(e^x\right)$
- B$\log \left(e^x-e^{-x}\right)$
- C$\tan ^{-1}\left(e^{-x}\right)$
- D$\log \left(e^x+e^{-x}\right)$
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$STATEMENT$ $-1: \lim _{x \rightarrow 0}[g(x) \cot x-g(0) \operatorname{cosec} x]=f^{\prime \prime}(0)$.and
$STATEMENT$ $-2: f^{\prime}(0)=g(0)$.
| $\text{X}$ | $2$ | $3$ | $4$ | $5$ |
| $\text{P}(\text{X})$ | $\frac{5}{\text{k}}$ | $\frac{7}{\text{k}}$ | $\frac{9}{\text{k}}$ | $\frac{11}{\text{k}}$ |