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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Find value of $\int \limits_0^1 \large\frac{x^{\alpha}-1}{\log x}$$dx \qquad \alpha \geq 0$

\[\begin {array} {1 1} (a)\;\log _e 2 \\ (b)\;\log _e( 2 + \alpha) \\ (c)\;\log_e(\alpha -1) \\ (d)\;\log_e(1+\alpha) \end {array}\]

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