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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(x2+x)(x−8+2x−9)1/10dx\int\left(x^2+x\right)\left(x^{-8}+2 x^{-9}\right)^{1 / 10} d x is equal to
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Correct option: A
511(x2+2x)11/10+C\frac{5}{11}\left(x^2+2 x\right)^{11 / 10}+C
Option A is correct because the integral simplifies to 511(x2+2x)11/10+C\frac{5}{11}\left(x^2+2 x\right)^{11 / 10}+C after a suitable substitution.

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