The value of $\int_{ - \pi /2}^{\pi /2} {\frac{{{{\cos }^2}\,x}}{{1 + {3^x}}}\,dx} $ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The value of

\int_{ - \pi /2}^{\pi /2} {\frac{{{{\cos }^2}\,x}}{{1 + {3^x}}}\,dx}

View answer and explanation

Correct option: A

\frac{\pi }{4}

Option A (

\frac{\pi }{4}

) is correct because by using the property of definite integrals and adding the two forms of the integral, we can simplify the expression and evaluate it.

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