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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫x2dx(a+bx)2=\int \frac{x^2 d x}{(a+b x)^2}=
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Correct option: D
1b2[x+ab−2ablog⁡(a+bx)−a2b1a+bx]+c\left.\frac{1}{b^2}\left[x+\frac{a}{b}-\frac{2 a}{b} \log (a+b x\right)-\frac{a^2}{b} \frac{1}{a+b x}\right]+c
Option D is correct because the integral is solved using substitution and then simplifying the resulting expression.

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