What is the integral of x^2 with respect to x? (2021)

Practice Questions

Q1
What is the integral of x^2 with respect to x? (2021)
  1. (1/3)x^3 + C
  2. (1/2)x^2 + C
  3. (1/4)x^4 + C
  4. (1/5)x^5 + C

Questions & Step-by-Step Solutions

What is the integral of x^2 with respect to x? (2021)
  • Step 1: Identify the function you want to integrate. In this case, it is x^2.
  • Step 2: Recognize that you will use the power rule for integration, which states that the integral of x^n is (1/(n+1))x^(n+1) + C.
  • Step 3: Determine the value of n. Here, n is 2 because we have x^2.
  • Step 4: Apply the power rule. Substitute n = 2 into the formula: (1/(2+1))x^(2+1) + C.
  • Step 5: Simplify the expression. This becomes (1/3)x^3 + C.
  • Step 6: Write down the final answer: The integral of x^2 with respect to x is (1/3)x^3 + C.
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