What is the integral from 0 to 1/2 of x ?

The integral from 0 to 1/2 of x is 1/8

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integral from 0 to 1/2 of x

\int_{0}^{\frac{1}{2}} x d x

\frac{1}{8}

Decimal Notation

0.125

Solution steps

\int_{0}^{\frac{1}{2}} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{\frac{1}{2}}

= [\frac{x ^{2}}{2}]_{0}^{\frac{1}{2}}

Compute the boundaries:

\frac{1}{8}

= \frac{1}{8}

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What is the integral from 0 to 1/2 of x ?
The integral from 0 to 1/2 of x is 1/8