What is the integral from 1 to 2 of 1/2-1/8 x ?

The integral from 1 to 2 of 1/2-1/8 x is 5/16

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integral from 1 to 2 of 1/2-1/8 x

\int_{1}^{2} \frac{1}{2} - \frac{1}{8} x d x

\frac{5}{16}

Decimal

0.3125

Solution steps

\int_{1}^{2} \frac{1}{2} - \frac{1}{8} x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{2} \frac{1}{2} d x - \int_{1}^{2} \frac{1}{8} x d x

\int_{1}^{2} \frac{1}{2} d x = \frac{1}{2}

\int_{1}^{2} \frac{1}{8} x d x = \frac{3}{16}

= \frac{1}{2} - \frac{3}{16}

Simplify

\frac{1}{2} - \frac{3}{16} : \frac{5}{16}

= \frac{5}{16}

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What is the integral from 1 to 2 of 1/2-1/8 x ?
The integral from 1 to 2 of 1/2-1/8 x is 5/16