JEE Main 202228 Jul, Morning shiftMathematicsMediumIntegral Calculus369× since 2002If ∫0315x31+x2+(1+x2)3 dx=α2+β3\int\limits_{0}^{\sqrt{3}} \frac{15 x^{3}}{\sqrt{1+x^{2}+\sqrt{\left(1+x^{2}\right)^{3}}}} \mathrm{~d} x=\alpha \sqrt{2}+\beta \sqrt{3}0∫31+x2+(1+x2)315x3 dx=α2+β3, where α,β\alpha, \betaα,β are integers, then α+β\alpha+\betaα+β is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
