JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of the integral

I=\int\limits_{{-\pi / 2}}^{\pi / 2} \frac{\cos ^2 x}{1+3^x} d x

View answer and explanation

Correct option: A

\frac{\pi}{4}

Option A (

\frac{\pi}{4}

) is correct because by applying the property

\int_{-a}^a f(x) dx = \int_0^a [f(x) + f(-x)] dx

, the integral simplifies to

\int_0^{\pi/2} \cos^2 x dx

, which evaluates to

\pi/4

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