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The value of $I = \int_{- π / 2}^{π / 2} \sqrt{\cos x - \cos^{3} x} d x$ is

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Correct option is C

I=∫−π/2π/2 cos⁡ x|sin⁡ x|dx=2∫0π/2 cos⁡ x|sin⁡ x|dx(the integrand is an even function)=2∫0π/2 cos⁡ xsin⁡ xdx=−43(cos⁡ x)3/20π/2=43.

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The value of I=∫−π/2π/2 cos⁡ x−cos3⁡ xdx is

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The value of $I = \int_{- π / 2}^{π / 2} \sqrt{\cos x - \cos^{3} x} d x$ is