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Integrate x^2 dx

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Answer

\boxed{\frac{x^3}{3} + C}

Differentiating the result $\frac{x^3}{3} + C$ gives the original integrand $x^2$ , confirming our answer is correct.

Problem: Evaluate the indefinite integral $\int x^2 \, dx$ .

Steps

Apply the power rule for integration $\frac{x^{2+1}}{2+1} + C$
Simplify the exponents and denominators $\frac{x^3}{3} + C$

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