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Indefinite Integrals question

2024 · 8 Apr · Shift 2 · Q53

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JEE Main
Mathematics
Indefinite Integrals
2024 · 8 Apr · Shift 2 · Q53

Indefinite Integrals question

2024 · 8 Apr · Shift 2 · Q53

JEE MainMathematicsIndefinite IntegralsNumerical+4 / −1

If

\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)^B+\mathrm{C}

, where

\mathrm{C}

is the constant of integration, then the value of

\alpha+\beta+20 \mathrm{AB}

is

\underline{\hspace{2cm}}

.

Numerical answer

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