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

The integral from 1 to 1.5 of 1/8+3/8 x is 0.296875

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integral from 1 to 1.5 of 1/8+3/8 x

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

0.296875

Solution steps

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

\int_{1}^{1.5} \frac{1}{8} d x = 0.0625

\int_{1}^{1.5} \frac{3}{8} x d x = 0.234375

= 0.0625 + 0.234375

Simplify

= 0.296875

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What is the integral from 1 to 1.5 of 1/8+3/8 x ?
The integral from 1 to 1.5 of 1/8+3/8 x is 0.296875