JEE Main 20244 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002If ∫cosec5xdx=αcotxcosecx(cosec2x+32)+βlogx∣tanx2∣+C\int \operatorname{cosec}^5 x d x=\alpha \cot x \operatorname{cosec} x\left(\operatorname{cosec}^2 x+\frac{3}{2}\right)+\beta \log _x\left|\tan \frac{x}{2}\right|+\mathrm{C}∫cosec5xdx=αcotxcosecx(cosec2x+23)+βlogxtan2x+C where α,β∈R\alpha, \beta \in \mathbb{R}α,β∈R and C\mathrm{C}C is the constant of integration, then the value of 8(α+β)8(\alpha+\beta)8(α+β) equals _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
