What is the integral from 0 to 81 of sqrt(x) ?

The integral from 0 to 81 of sqrt(x) is 486

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integral from 0 to 81 of sqrt(x)

\int_{0}^{81} x d x

486

Solution steps

\int_{0}^{81} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{81}

= [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{81}

Compute the boundaries:

486

= 486

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What is the integral from 0 to 81 of sqrt(x) ?
The integral from 0 to 81 of sqrt(x) is 486