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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫(ax−bx)2axbxdx\int \frac{\left(a^x-b^x\right)^2}{a^x b^x} d x equals
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Correct option: D
(ab)x−(ba)xln⁡(ab)−2x+c\frac{\left(\frac{a}{b}\right)^x-\left(\frac{b}{a}\right)^x}{\ln \left(\frac{a}{b}\right)}-2 x+c
Option D ((ab)x−(ba)xln⁡(ab)−2x+c\frac{{(\frac{{a}}{{b}})^x-(\frac{{b}}{{a}})^x}}{{\ln (\frac{{a}}{{b}})}} - 2x + c) is correct because it is derived by expanding the integrand and integrating each term.

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