Step 1: Identify the function you want to integrate, which is f(x) = 2x.
Step 2: Recall the basic rule of integration for power functions: ∫x^n dx = (x^(n+1))/(n+1) + C, where n is a constant and C is the constant of integration.
Step 3: In our case, we have 2x, which can be rewritten as 2 * x^1.
Step 4: Apply the power rule: Increase the exponent by 1 (1 + 1 = 2) and divide by the new exponent (2).
Step 5: So, ∫2x dx = 2 * (x^2)/2 + C.
Step 6: The 2s cancel out, leaving us with x^2 + C.
