What is the integral from 1.2 to 1.5 of 2/3-2/9 x ?

The integral from 1.2 to 1.5 of 2/3-2/9 x is 0.11

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integral from 1.2 to 1.5 of 2/3-2/9 x

\int_{1.2}^{1.5} \frac{2}{3} - \frac{2}{9} x d x

0.11

Solution steps

\int_{1.2}^{1.5} \frac{2}{3} - \frac{2}{9} 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}^{1.5} \frac{2}{3} d x - \int_{1.2}^{1.5} \frac{2}{9} x d x

\int_{1.2}^{1.5} \frac{2}{3} d x = 0.2

\int_{1.2}^{1.5} \frac{2}{9} x d x = 0.09

= 0.2 - 0.09

Simplify

= 0.11

What is the integral from 1.2 to 1.5 of 2/3-2/9 x ?
The integral from 1.2 to 1.5 of 2/3-2/9 x is 0.11