If \int \binom{ \sin ^{\frac{3}{2}} {\x}+\cos ^{\frac{3}{2}} {\x}}/\sqrt{ \sin ^3 {\x} \cos ^3 {\x} \sin ( {\x}-\theta)}} {\dx} = {\A} \sqrt{\cos \theta \tan {\x}- \sin \theta}+ {\B} \sqrt{\cos \theta- \sin \theta \cot {\x}+ {\C}, where C is the integration constant, then A B is equal to [29-Jan-2024 Shift 2]

Correct Answer is : 8cosec(2θ)

JEE Main 29-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 10 of 90

Marks: +1, -0

If ∫‌

sin‌

x+cos

√sin‌3xcos3xsin‌(x−θ)

‌dx =A√cos‌θ‌tan‌x−sin‌θ+B√cos‌θ−sin‌θ‌cot‌x+C,
where C is the integration constant, then AB is equal to

[29-Jan-2024 Shift 2]

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