What is the integral from 0 to 8 of (x^2) ?

The integral from 0 to 8 of (x^2) is 512/3

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integral from 0 to 8 of (x^2)

\int_{0}^{8} (x^{2}) d x

\frac{512}{3}

Decimal

170.66666 \dots

Solution steps

\int_{0}^{8} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{8}

= [\frac{x ^{3}}{3}]_{0}^{8}

Compute the boundaries:

\frac{512}{3}

= \frac{512}{3}

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What is the integral from 0 to 8 of (x^2) ?
The integral from 0 to 8 of (x^2) is 512/3