If f(x)= 2-x x 2+x x and g(x)= _ x x(x>0) then the value of the integral _ - / 4 ^ / 4…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(f(x)=\frac{2-x \cos x}{2+x \cos x} \text { and } g(x)=\log _{x} x(x>0)\) then the value of the integral \[\int_{-\pi / 4}^{\pi / 4} g(f(x)) d x\]
- loge 1
- loge 3
- loge e
- loge 2
Answer
(A) log e 1
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