Evaluate int(0)^(2pi)cos^(5)xdx....

Evaluate `int_(0)^(2pi)cos^(5)xdx`.

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The correct Answer is:

`=0[(becauseint_(0)^(2a)f(x)=0", if "f(2a-x)=-f(x)","),("here "cos^(5)(pi-x)=-cos^(5)x)]`

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