# find the value of integral f(x)=(vcosx-cos³x)dx

9 years ago
$\int \sqrt{\cos (x)-\cos ^3(x)} \, dx=\frac{1}{3} (-2) \cot (x) \sqrt{\sin ^2(x) \cos (x)}$

$\int_{-\frac{\pi }{2}}^{\frac{\pi }{2}} \sqrt{\cos (x)-\cos ^3(x)} \, dx=\frac{4}{3}$