Explanation:
To evaluate the integral ∫[0 to 4] (0^4 cos^4 2x) dx, we can simplify the integrand first.
Since 0^4 is equal to 0, the integral becomes:
∫[0 to 4] (0 cos^4 2x) dx
Since the integrand contains a factor of 0, the entire integral evaluates to zero:
∫[0 to 4] (0 cos^4 2x) dx = 0