JEE MAIN - Mathematics Hindi (2024 - 29th January Evening Shift - No. 3)
यदि $$\int \frac{\sin ^{\frac{3}{2}} x+\cos ^{\frac{3}{2}} x}{\sqrt{\sin ^3 x \cos ^3 x \sin (x-\theta)}} d x=A \sqrt{\cos \theta \tan x-\sin \theta}+B \sqrt{\cos \theta-\sin \theta \cot x}+C$$ है, जहाँ $$C$$ समाकलन अचर हे, तो $$A B$$ बराबर है
$$2 \sec \theta$$
$$8 \operatorname{cosec}(2 \theta)$$
$$4 \operatorname{cosec}(2 \theta)$$
$$4 \sec \theta$$
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