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$If I= \int_{- π / 2}^{π / 2} \sqrt{\cos x - \cos^{3} x} d x t h e n 3 I i s$

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Correct option is D

Given integralI=∫−π/2π/2 cos⁡x1−cos2⁡xdx=∫−π/2π/2 cos⁡xsin2⁡xdx=∫−π/2π/2 (cos⁡x)|sin⁡x|dx--------(1) Now, sinx=−sin⁡x, if −π/2≤x<0sin⁡x, if 0

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If I= ∫−π/2π/2 cos⁡x−cos3⁡xdx then 3I is

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$If I= \int_{- π / 2}^{π / 2} \sqrt{\cos x - \cos^{3} x} d x t h e n 3 I i s$