MCQ
$\int \limits_{-\pi / 2}^{\pi / 2} \frac{1}{1+ e ^{\sin x}} d x$ ની કિમત શોધો
- A$\pi$
- B$\frac{3 \pi}{2}$
- C$\frac{\pi}{4}$
- ✓$\frac{\pi}{2}$
Apply King property
$I=\int_{E \pi / 2}^{\pi / 2} \frac{1}{1+e^{-\sin x}} d x=\int_{-\pi / 2}^{\pi / 2} \frac{e^{\sin x}}{1+e^{\sin x}} d x$
$\begin{array}{l}2 I =\int_{-\pi / 2}^{\pi / 2} d x =\pi \\I =\frac{\pi}{2}\end{array}$
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