JEE Main 201912 Jan, Evening shiftMathematicsEasyIntegral Calculus369× since 2002The integral ∫3x13+2x11(2x4+3x2+1)4 dx\int {{{3{x^{13}} + 2{x^{11}}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^4}}}} \,dx∫(2x4+3x2+1)43x13+2x11dx is equal to : (where C is a constant of integration)AOption A. x126(2x4+3x2+1)3{{{x^{12}}} \over {6{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}}6(2x4+3x2+1)3x12 + CCCBOption B. x46(2x4+3x2+1)3+C{{{x^4}} \over {6{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}} + C6(2x4+3x2+1)3x4+CCOption C. x12(2x4+3x2+1)3+C{{{x^{12}}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}} + C(2x4+3x2+1)3x12+CDOption D. x4(2x4+3x2+1)3+C{{{x^4}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^3}}} + C(2x4+3x2+1)3x4+CCheckSkip · show solution
