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what is the integral of x2x^2?

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Evaluate definite integrals using the chain ruleright chevron icon

Full solution

Q. what is the integral of x2x^2?
  1. Identify integral: Identify the integral to be solved.\newlineWe need to find the integral of x2x^2 with respect to xx.
  2. Apply power rule: Apply the power rule for integration.\newlineThe power rule states that the integral of xnx^n with respect to xx is (x(n+1))/(n+1)+C(x^{(n+1)})/(n+1) + C, where CC is the constant of integration.\newlineSo, the integral of x2x^2 with respect to xx is (x(2+1))/(2+1)+C(x^{(2+1)})/(2+1) + C.
  3. Perform calculation: Perform the calculation.\newlineUsing the power rule, we get (x3)/3+C(x^3)/3 + C.
  4. Write final answer: Write the final answer.\newlineThe integral of x2x^2 with respect to xx is (x3)/3+C(x^3)/3 + C.

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