$\mathop \smallint \nolimits_{ - 10}^{10} \,\,\log \,\,\left( {\frac{{a\,\, + \,\,x}}{{a\,\, - \,\,x}}} \right)\,\,dx$ is equal to

$ - \,2\,\,\log \,\,\left( {a + 10} \right)$

$2\,\,\log \,\,\left( {\frac{{a\,\, + \,\,10}}{{a\,\, - \,\,10}}} \right)$

$2\,\,\log \,\,\left( {a\,\, + \,\,10} \right)$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

\int \nolimits_{ - 10}^{10} \,\,\log \,\,\left( {\frac{{a\,\, + \,\,x}}{{a\,\, - \,\,x}}} \right)\,\,dx

is equal to

View answer and explanation

Correct option: A

\mathrm{0}

Option A (0) is correct because the integrand is an odd function and the limits of integration are symmetric about the origin.

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