What is the integral from 4 to 5 of x/8 ?

The integral from 4 to 5 of x/8 is 9/16

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integral from 4 to 5 of x/8

\int_{4}^{5} \frac{x}{8} d x

\frac{9}{16}

Decimal

0.5625

Solution steps

\int_{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_{4}^{5} x d x

Apply the Power Rule

= \frac{1}{8} [\frac{x ^{2}}{2}]_{4}^{5}

Compute the boundaries:

\frac{9}{2}

= \frac{1}{8} \cdot \frac{9}{2}

Simplify

= \frac{9}{16}

What is the integral from 4 to 5 of x/8 ?
The integral from 4 to 5 of x/8 is 9/16