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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
If f(x)=log⁡xx3f(x)=\frac{\log x}{x^3}, then its antiderivative F(x)F(x) given by
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Correct option: A
C−12x2log⁡(xe)C-\frac{1}{2 x^2} \log (x \sqrt{e})
Option A (C−12x2log⁡(xe)C-\frac{1}{2 x^2} \log (x \sqrt{e})) is correct because it is the result of integrating the given function using integration by parts.

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