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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(2x12+5x9)dx(1+x3+x5)3=\int \frac{\left(2 x^{12}+5 x^9\right) d x}{\left(1+x^3+x^5\right)^3}=
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Correct option: A
x102(x5+x3+1)2+c\frac{x^{10}}{2\left(x^5+x^3+1\right)^2}+c
Option A (x102(x5+x3+1)2+c\frac{{x^{{10}}}}{{2(x^5+x^3+1)^2}}+c) is correct because after substitution and integration, the result matches this option.

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