What is the integral from 0 to 2 of [x^2] ?

The integral from 0 to 2 of [x^2] is 8/3

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integral from 0 to 2 of [x^2]

\int_{0}^{2} [x^{2}] d x

\frac{8}{3}

Decimal Notation

2.66666 \dots

Solution steps

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{2}

= [\frac{x ^{3}}{3}]_{0}^{2}

Compute the boundaries:

\frac{8}{3}

= \frac{8}{3}

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What is the integral from 0 to 2 of [x^2] ?
The integral from 0 to 2 of [x^2] is 8/3