The correct option is A x^33 ∫ x ^ 2 dx = x ^ 2+1 2+1 = x ^ 3 3 The correct option is A Using : ∫ x^n dx = x^nn+1 ...

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Centroid Formula

Evaluate: ∫...

Question

Evaluate: $\int x^{2} d x$

\frac{x^{3}}{3}

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\frac{| x |^{2}}{3}

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\frac{x^{3}}{5}

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\frac{x^{2}}{3}

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Solution

The correct option is A $\frac{x^{3}}{3}$
$\int x^{2} d x = \frac{x^{2 + 1}}{2 + 1} = \frac{x^{3}}{3}$
The correct option is $A$
Using : $\int x^{n} d x = \frac{x^{n}}{n + 1}$

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