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

The integral from 2 to 8 of x^2 is 168

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integral from 2 to 8 of x^2

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

168

Solution steps

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{2}^{8}

= [\frac{x ^{3}}{3}]_{2}^{8}

Compute the boundaries:

168

= 168

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\int_{0}^{π} (sin (x) - 8) d x

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What is the integral from 2 to 8 of x^2 ?
The integral from 2 to 8 of x^2 is 168