The value of the integral $\mathop \smallint \nolimits_0^{\pi /2} \,\,\log \,\,|\tan \,\,x|dx\,\,{\rm{is}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The value of the integral

\int \nolimits_0^{\pi /2} \,\,\log \,\,|\tan \,\,x|dx\,\,\mathrm{is}

View answer and explanation

Correct option: B

\mathrm{0}

Option B (0) is correct because the integral of log|tan x| from 0 to π/2 is 0 due to the symmetry of the function.

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