MCQ
The value of $\int \frac{1}{e^x+e^{-x}} d x$ is
- A$\tan ^{-1}\left(e^x\right)+c$
- B$\tan ^{-1}\left(e^{-x}\right)+c$
- C$\log \left(e^x+e^{-x}\right)+c$
- ✓none of these
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
If $I_1 = \int\limits_{\frac{\pi }{6}}^{\frac{\pi }{3}} \, f (\tan\, \theta + \cot\, \theta )\cdot sec^2\, \theta\, d\, \theta$ &
$I_2 = \int\limits_{\frac{\pi }{6}}^{\frac{\pi }{3}} \, f (\tan\, \theta + \cot\, \theta )\cdot cosec^2\, \theta\, d \, \theta$ ,
then the ratio $\frac{{{I_1}}}{{{I_2}}}$ :