JEE Main 2016Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002The integral ∫2x12+5x9(x5+x3+1)3dx\int {{{2{x^{12}} + 5{x^9}} \over {{{\left( {{x^5} + {x^3} + 1} \right)}^3}}}} dx∫(x5+x3+1)32x12+5x9dx is equal to :AOption A. x52(x5+x3+1)2+C{{{x^5}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2x5+CBOption B. −x102(x5+x3+1)2+C{{ - {x^{10}}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2−x10+CCOption C. −x5(x5+x3+1)2+C{{{-x^5}} \over {{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C(x5+x3+1)2−x5+CDOption D. x102(x5+x3+1)2+C{{ {x^{10}}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2x10+CCheckSkip · show solution
