MathematicsMedium210×since 2002Q3449Let 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 :A4B2C222 \sqrt{2}22D2\sqrt{2}2Check answerSkip