The value of $\mathop \smallint \limits_{ - \pi /2}^{\pi /2} \,\,\,\,\left( {{x^3}\,\, + \,\,x\,\,\cos \,\,x\,\, + \,\,{{\tan }^5}\,\,x\,\, + \,\,1} \right)\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \limits_{ - \pi /2}^{\pi /2} \,\,\,\,\left( {{x^3}\,\, + \,\,x\,\,\cos \,\,x\,\, + \,\,{{\tan }^5}\,\,x\,\, + \,\,1} \right)\,\,dx

is equal to

View answer and explanation

Correct option: C

\pi

Option C (

\pi

) is correct because the integral of the odd functions over the symmetric interval is zero, leaving only the integral of 1 from -

\pi

/2 to

\pi

/2.

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