Find ∫4cos(2𝑥)

To find the integral of 4cos(2x) dx, we can use the formula for the integral of cos(ax), which is (1/a)sin(ax) + C, where C is the constant of integration.

Step 1: Identify a and compare with the standard formula In this case, a = 2.

Step 2: Apply the formula So, ∫4cos(2x) dx = 4 * (1/2)sin(2x) + C

Step 3: Simplify the expression This simplifies to 2sin(2x) + C.

So, the integral of 4cos(2x) dx is 2sin(2x) + C.