Find the following indefinite integral:∫(4sin(𝑥))d𝑥=

The indefinite integral of 4sin(x) dx can be found using the basic integral rules.

Step 1: Identify the integral The integral is ∫4sin(x) dx.

Step 2: Use the integral rule The integral of sin(x) dx is -cos(x).

Step 3: Apply the rule to the function So, the integral of 4sin(x) dx is 4 times the integral of sin(x) dx, which is -4cos(x).

Step 4: Add the constant of integration The most general antiderivative includes a "+ C" term (where C is a constant), so the final answer is -4cos(x) + C.