Multiple Choice Questions on int 1n x 1 dx minus int 1n x 2 dx is equal to ........ for NDA Exam Preparation

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Multiple Choice Questions

int 1n x 1 dx minus int 1n x 2 dx is equal to ........

Mathematics (NDA) Integration
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    ∫(1n x)-1 dx − ∫(1n x)-2 dx is equal to-

    x(ln x)-1 + c

    Correct Answer

    x(ln x)-2  + c

    Incorrect Answer

    x(ln x)  + c

    Incorrect Answer

    x(ln x)2  + c

    Incorrect Answer
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    Explanation:

    Using ILATE method:

    (ln x)-1 .x - ∫ −1 / (ln x)2.1 dx – ∫(ln x)-2 dx = x / ln x + c

    By: Yachna
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