Mathematics · 2024
JEE Main · 8 April 2024, Shift 2 · Q26
If ∫ 1/(√[5]((x-1)^4(x+3)^6)) d x= A ((α x-1)/(β x+3))^B + C, where C is the constant of integration, then the value of α+β+20 AB is ____.
If $\displaystyle \int \frac{1}{\sqrt[5]{(x-1)^4(x+3)^6}} \mathrm{~d} x=\mathrm{A}\left(\frac{\alpha x-1}{\beta x+3}\right)^{\mathrm{B}}+\mathrm{C}$, where C is the constant of integration, then the value of $\displaystyle \alpha+\beta+20 \mathrm{AB}$ is $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
7
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.