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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(1+log⁡x)2xdx=\int \frac{(1+\log x)^2}{x} d x=
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Correct option: C
13(1+log⁡x)3+c\frac{1}{3}(1+\log x)^3+c
Option C is correct because the integral simplifies to 13(1+log⁡x)3+c\frac{1}{3}(1+\log x)^3+c after a simple substitution.

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