To integrate the expression sin(2 * 2x) dx, we first simplify it. The term 2 * 2x can be rewritten as 4x, so we are looking to integrate sin(4x) dx.
The integral of sin(kx) is given by the formula:
∫ sin(kx) dx = – (1/k) cos(kx) + C
Here, k is the coefficient of x, which in our case is 4. Thus, applying this formula, we get:
∫ sin(4x) dx = – (1/4) cos(4x) + C
Where C represents the constant of integration. Therefore, the final answer to the integral of sin(2 * 2x) dx is:
– (1/4) cos(4x) + C