If \int {\cosec}^5 x \dx=\alpha \cot x {\cosec} x ({\cosec}^2 x+\frac{3}{2}) +\beta \log _e{| \tan \frac{x}{2} |}+C where \alpha, \beta \in \mathbb{R} and {\C} is constant of integration , then the value of 8(\alpha+\beta) equals ..... [4 Apr 2024 Shift 2]

JEE Main 4 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 22 of 90

Marks: +1, -0

If ∫cosec5x‌dx=α‌cot‌x‌cosec‌x(cosec2x+‌

)+βloge|tan‌

|+C where α,β∈ℝ and C is constant of integration , then the value of 8(α+β) equals .....

[4 Apr 2024 Shift 2]

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