Step 1: Identify the function to integrate, which is x^5.
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.
Step 3: In this case, n is 5. So, we will add 1 to the exponent: 5 + 1 = 6.
Step 4: Now, apply the power rule: (1/6) * x^6.
Step 5: Don't forget to add the constant of integration, C. So, the final answer is (1/6)x^6 + C.
Integration of Power Functions – The question tests the ability to integrate a polynomial function using the power rule, which states that the integral of x^n is (1/(n+1))x^(n+1) + C.
