What is the integral from 0.8 to 1 of 5(1-x) ?

The integral from 0.8 to 1 of 5(1-x) is 0.1

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integral from 0.8 to 1 of 5(1-x)

\int_{0.8}^{1} 5 (1 - x) d x

0.1

Solution steps

\int_{0.8}^{1} 5 (1 - x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{0.8}^{1} 1 - 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

= 5 (\int_{0.8}^{1} 1 d x - \int_{0.8}^{1} x d x)

\int_{0.8}^{1} 1 d x = 0.2

\int_{0.8}^{1} x d x = 0.18

= 5 (0.2 - 0.18)

Simplify

= 0.1

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What is the integral from 0.8 to 1 of 5(1-x) ?
The integral from 0.8 to 1 of 5(1-x) is 0.1