Step 1: Understand that we want to find the integral of the function f(x) = cos(x).
Step 2: Recall that the integral of a function gives us a new function whose derivative is the original function.
Step 3: Remember the basic rule for integrating cosine: the integral of cos(x) is sin(x).
Step 4: Since we are finding an indefinite integral, we need to add a constant 'C' to represent any constant value that could be added to the function.
Step 5: Combine the results to write the final answer: the integral of f(x) = cos(x) is sin(x) + C.
