Step 1: Identify the function you want to integrate, which is x^2.
Step 2: Use the power rule for integration. The power rule states that the integral of x^n is (1/(n+1)) * x^(n+1) + C, where n is the exponent and C is the constant of integration.
Step 3: In this case, n is 2. So, apply the power rule: (1/(2+1)) * x^(2+1) + C.
Step 4: Simplify the expression: (1/3) * x^3 + C.
Step 5: Write the final answer: The integral of x^2 is (1/3)x^3 + C.
Integration – The process of finding the integral of a function, which represents the area under the curve of that function.
Power Rule for Integration – A rule that states the integral of x^n is (1/(n+1))x^(n+1) + C for any real number n ≠ -1.
