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Popular >

integral from 1 to 9 of-1/9 x+1

Solution

\int_{1}^{9} - \frac{1}{9} x + 1 d x

Solution

\frac{32}{9}

+1

Decimal

3.55555 \dots

Solution steps

\int_{1}^{9} - \frac{1}{9} x + 1 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}^{9} \frac{1}{9} x d x + \int_{1}^{9} 1 d x

\int_{1}^{9} \frac{1}{9} x d x = \frac{40}{9}

\int_{1}^{9} 1 d x = 8

= - \frac{40}{9} + 8

Simplify

- \frac{40}{9} + 8 : \frac{32}{9}

= \frac{32}{9}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 9 of-1/9 x+1 ?
The integral from 1 to 9 of-1/9 x+1 is 32/9