What is the integral from 3.5 to 4.5 of x/8 ?

The integral from 3.5 to 4.5 of x/8 is 0.5

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integral from 3.5 to 4.5 of x/8

\int_{3.5}^{4.5} \frac{x}{8} d x

0.5

Solution steps

\int_{3.5}^{4.5} \frac{x}{8} d x

Take the constant out:

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

= \frac{1}{8} \cdot \int_{3.5}^{4.5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{3.5}^{4.5}

= \frac{1}{8} [\frac{x ^{2}}{2}]_{3.5}^{4.5}

Simplify

= 0.125 [0.5 x^{2}]_{3.5}^{4.5}

Compute the boundaries:

4

= 0.125 \cdot 4

Simplify

= 0.5

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What is the integral from 3.5 to 4.5 of x/8 ?
The integral from 3.5 to 4.5 of x/8 is 0.5