DI_JEE MAIN_08-04-2019_S1 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN 2019

08-04-2019 S1

Question

If $f(x)=\frac{2-x \cos x}{2+x \cos x}$ and $g(x)=\log _e x,(x>0)$ then the value of the integral $\int_{-\pi / 4}^{\pi / 4} g(f(x)) d x$ is :

Select the correct option:

$\log _{\mathrm{e}} 1$

$\log _e 3$

$\log _{\mathrm{e}} 2$

$\log _{\mathrm{e}} \mathrm{e}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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