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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The integral ∫2x12+5x9(x5+x3+1)3dx\int {\frac{{2{x^{12}} + 5{x^9}}}{{{{\left( {{x^5} + {x^3} + 1} \right)}^3}}}dx} is equl to
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Correct option: B
x102(x5+x3+1)2+C\frac{{{x^{10}}}}{{2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C
Option B is correct because the integral simplifies to a form that can be solved by substitution, resulting in the given expression.

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