By using the properties of definite integrals, evaluate the integrals`int_0^(2pi)cos^5x dx`

Explanation

To evaluate the integral \( I = \int_0^{2\pi} \cos^5 x \, dx \) using properties of definite integrals, we will follow these steps:

### Step 1: Define the Integral
Let
\[ I = \int_0^{2\pi} \cos^5 x \, dx \]

...