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

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of the integral

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

View answer and explanation

Correct option: B

\frac{4}{3}

Option B (

\frac{4}{3}

) is correct because the integral simplifies to an integral of sin(x)sqrt(cos(x)) which can be solved by substitution.

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