JEE Main 2015Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002The integral ∫dxx2(x4+1)3/4\int {{{dx} \over {{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}}∫x2(x4+1)3/4dx equals :AOption A. −(x4+1)14+c- {\left( {{x^4} + 1} \right)^{{1 \over 4}}} + c−(x4+1)41+cBOption B. −(x4+1x4)14+c- {\left( {{{{x^4} + 1} \over {{x^4}}}} \right)^{{1 \over 4}}} + c−(x4x4+1)41+cCOption C. (x4+1x4)14+c{\left( {{{{x^4} + 1} \over {{x^4}}}} \right)^{{1 \over 4}}} + c(x4x4+1)41+cDOption D. (x4+1)14+c{\left( {{x^4} + 1} \right)^{{1 \over 4}}} + c(x4+1)41+cCheckSkip · show solution
