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Indefinite Integrals question

2016 · Shift 0 · Q27
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  2. /JEE Main
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  4. /Indefinite Integrals
  5. /2016 · Shift 0 · Q27

Indefinite Integrals question

2016 · Shift 0 · Q27

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1
The 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+5x9​dx is equal to :
  1. A
    x52(x5+x3+1)2+C{{{x^5}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2x5​+C
  2. 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​+C
  3. C
    −x5(x5+x3+1)2+C{{{-x^5}} \over {{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C(x5+x3+1)2−x5​+C
  4. D
    x102(x5+x3+1)2+C{{ {x^{10}}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2x10​+C
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