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find the integral. $int x^{2}dx$ $int x^{2}dx=square$

Question

find the integral. $int x^{2}dx$ $int x^{2}dx=square$

Explanation:

Step1: Apply the power rule for integration

The power rule for integration is $\int x^n dx=\frac{x^{n + 1}}{n+1}+C$ ($n
eq - 1$). Here $n = 2$.
$$\int x^2dx=\frac{x^{2+1}}{2 + 1}+C$$

Step2: Simplify the expression

Simplify the exponent and the denominator.
$$\frac{x^{3}}{3}+C$$

Answer:

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