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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1
If ∫(x9+x6+x3)(2x6+3x3+6)13dx=1A(2x9+3x6+6x3)B+C\int\left(x^9+x^6+x^3\right)\left(2 x^6+3 x^3+6\right)^{\frac{1}{3}} d x=\frac{1}{A}\left(2 x^9+3 x^6+6 x^3\right)^B+C, where CC is integration constant then AB{AB} is equal to
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Correct option: A
32
Option A (32) is correct because it is the product of A and B after evaluating the integral and comparing with the given form.

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