What is the integral from 0.5 to 1 of x^2 ?

The integral from 0.5 to 1 of x^2 is 0.29166…

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integral from 0.5 to 1 of x^2

\int_{0.5}^{1} x^{2} d x

0.29166 \dots

Solution steps

\int_{0.5}^{1} x^{2} d x

Apply the Power Rule

= [\frac{x ^{3}}{3}]_{0.5}^{1}

Simplify

= [0.33333 \dots x^{3}]_{0.5}^{1}

Compute the boundaries:

0.29166 \dots

= 0.29166 \dots

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What is the integral from 0.5 to 1 of x^2 ?
The integral from 0.5 to 1 of x^2 is 0.29166…