What is the integral from-1/2 to 1/2 of x^2 ?

The integral from-1/2 to 1/2 of x^2 is 1/12

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integral from-1/2 to 1/2 of x^2

\int_{- \frac{1}{2}}^{\frac{1}{2}} x^{2} d x

\frac{1}{12}

Solution steps

\int_{- \frac{1}{2}}^{\frac{1}{2}} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- \frac{1}{2}}^{\frac{1}{2}}

= [\frac{x ^{3}}{3}]_{- \frac{1}{2}}^{\frac{1}{2}}

Compute the boundaries:

\frac{1}{12}

= \frac{1}{12}

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What is the integral from-1/2 to 1/2 of x^2 ?
The integral from-1/2 to 1/2 of x^2 is 1/12