JEE Main 2024 Mathematics question
If where α, β ∈ R and C is constant of integration, then the value of 8(α + β) equals …..
Answer: 1
Solution
By the reduction formula ∫csc⁵x dx = −¼ cot x csc³x − ⅜ cot x csc x + ⅜ ln|tan(x/2)| + C, so α = −1/4 and β = 3/8; 8(α + β) = 1.