Mathematics · 2024
JEE Main · 4 April 2024, Shift 2 · Q26
If ∫ cosec^5 x d x=α cot x cosec x( coesc^2 x+3/2)+β log_e| tan x/2|+C where α, β ∈ R and C is the constant of integration, then the value of 8(α+β)…
If $\displaystyle \int \operatorname{cosec}^5 x d x=\alpha \cot x \operatorname{cosec} x\left(\operatorname{coesc}^2 x+\frac{3}{2}\right)+\beta \log _e\left|\tan \frac{x}{2}\right|+C$
where $\displaystyle \alpha, \beta \in \mathbb{R}$ and C is the constant of integration, then the value of $\displaystyle 8(\alpha+\beta)$ equals $\displaystyle \_\_\_\_$
Official answer
From NTA’s final answer key for this paper.
1
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.