What is the integral from 3 to 3.5 of x/8 ?

The integral from 3 to 3.5 of x/8 is 0.203125

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integral from 3 to 3.5 of x/8

\int_{3}^{3.5} \frac{x}{8} d x

0.203125

Solution steps

\int_{3}^{3.5} \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}^{3.5} x d x

Apply the Power Rule

= \frac{1}{8} [\frac{x ^{2}}{2}]_{3}^{3.5}

Simplify

= 0.125 [0.5 x^{2}]_{3}^{3.5}

Compute the boundaries:

1.625

= 0.125 \cdot 1.625

Simplify

= 0.203125

What is the integral from 3 to 3.5 of x/8 ?
The integral from 3 to 3.5 of x/8 is 0.203125