JEE MAIN - Mathematics Hindi (2017 - 8th April Morning Slot - No. 23)
समाकल $$\int \sqrt{1+2 \cot x(\operatorname{cosec} x+\cot x)} \mathrm{d} x$$, $$\left(0 < x <\frac{\pi}{2}\right)$$ बराबर है :
( जहाँ $$\mathrm{C}$$ एक समाकलन अचर है)
$$4 \log \left(\sin \frac{x}{2}\right)+C$$
$$2 \log \left(\sin \frac{x}{2}\right)+C$$
$$2 \log \left(\cos \frac{x}{2}\right)+C$$
$$4 \log \left(\cos \frac{x}{2}\right)+C$$
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