JEE Main 20248 Apr, Evening shiftMathematicsMediumIntegral Calculus369× since 2002If ∫1(x−1)4(x+3)65 dx=A(αx−1βx+3)B+C\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}∫5(x−1)4(x+3)61 dx=A(βx+3αx−1)B+C, where C\mathrm{C}C is the constant of integration, then the value of α+β+20AB\alpha+\beta+20 \mathrm{AB}α+β+20AB is _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
