The function $F\left( x \right) = \mathop \smallint \limits_0^x \log \,\,\left( {\frac{{1 - x}}{{1 + x}}} \right)dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The function

F\left( x \right) = \int \limits_0^x \log \,\,\left( {\frac{{1 - x}}{{1 + x}}} \right)dx

, is

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Correct option: A

An even function

Option A (An even function) is correct because the integral of an odd function from 0 to x results in an even function.

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