JEE Main 202331 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002Let α>0\alpha>0α>0. If ∫0αxx+α−x dx=16+20215\int\limits_0^\alpha \frac{x}{\sqrt{x+\alpha}-\sqrt{x}} \mathrm{~d} x=\frac{16+20 \sqrt{2}}{15}0∫αx+α−xx dx=1516+202, then α\alphaα is equal to :AOption A. 4BOption B. 2COption C. 222 \sqrt{2}22DOption D. 2\sqrt{2}2CheckSkip · show solution
