What is the integral from 1.5 to 3 of 1/8 x ?

The integral from 1.5 to 3 of 1/8 x is 0.421875

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integral from 1.5 to 3 of 1/8 x

\int_{1.5}^{3} \frac{1}{8} x d x

0.421875

Solution steps

\int_{1.5}^{3} \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}^{3} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1.5}^{3}

= \frac{1}{8} [\frac{x ^{2}}{2}]_{1.5}^{3}

Simplify

= 0.125 [0.5 x^{2}]_{1.5}^{3}

Compute the boundaries:

3.375

= 0.125 \cdot 3.375

Simplify

= 0.421875

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What is the integral from 1.5 to 3 of 1/8 x ?
The integral from 1.5 to 3 of 1/8 x is 0.421875