Jee Main
Indefinite Integrals
JEE Main 2024 (Online) 8th April Evening Shift
INTEGER+4 / -12024
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 _________.