What is the integral from 1.5 to 4 of 1/8 x ?

The integral from 1.5 to 4 of 1/8 x is 0.859375

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integral from 1.5 to 4 of 1/8 x

\int_{1.5}^{4} \frac{1}{8} x d x

0.859375

Solution steps

\int_{1.5}^{4} \frac{1}{8} x 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_{1.5}^{4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1.5}^{4}

= \frac{1}{8} [\frac{x ^{2}}{2}]_{1.5}^{4}

Simplify

= 0.125 [0.5 x^{2}]_{1.5}^{4}

Compute the boundaries:

6.875

= 0.125 \cdot 6.875

Simplify

= 0.859375

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What is the integral from 1.5 to 4 of 1/8 x ?
The integral from 1.5 to 4 of 1/8 x is 0.859375