JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

f(x) = \frac{{2 - x\,\cos \,x}}{{2 + \,x\,\cos \,x}}

and

g(x) = {\log _e}\,x,\,\,(x\, > \,0)

then the value of the integral

\int_{ - \pi /4}^{\pi /4} \, g(f(x))dx

View answer and explanation

Correct option: D

{\log _e}1

Option D (

{\log _e}1

) is correct because the integral evaluates to 0, which is the natural logarithm of 1.

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