What is the integral from 2 to 4 of x/2 ?

The integral from 2 to 4 of x/2 is 3

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integral from 2 to 4 of x/2

\int_{2}^{4} \frac{x}{2} d x

3

Solution steps

\int_{2}^{4} \frac{x}{2} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int_{2}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{4}

= \frac{1}{2} [\frac{x ^{2}}{2}]_{2}^{4}

Compute the boundaries:

6

= \frac{1}{2} \cdot 6

Simplify

= 3

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