The value of the integral $\mathop \smallint \limits_{ - \pi /2}^{\pi /2} \,\,\sqrt {\cos \,\,x\,\, - \,\,{{\cos }^3}\,\,x\,\,} dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of the integral

\int \limits_{ - \pi /2}^{\pi /2} \,\,\sqrt {\cos \,\,x\,\, - \,\,{{\cos }^3}\,\,x\,\,} dx

View answer and explanation

Correct option: C

\mathrm{4}\,\mathrm{/}\,\mathrm{3}

Option C (

\frac{\mathrm{4}}{\mathrm{3}}

) is correct because the integral is solved by simplifying the expression under the square root and using substitution.

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