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Popular Calculus >

integral from 0 to 8/3 of 3x-8

Solution

\int_{0}^{\frac{8}{3}} 3 x - 8 d x

Solution

- \frac{32}{3}

+1

Decimal

- 10.66666 \dots

Solution steps

\int_{0}^{\frac{8}{3}} 3 x - 8 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_{0}^{\frac{8}{3}} 3 x d x - \int_{0}^{\frac{8}{3}} 8 d x

\int_{0}^{\frac{8}{3}} 3 x d x = \frac{32}{3}

\int_{0}^{\frac{8}{3}} 8 d x = \frac{64}{3}

= \frac{32}{3} - \frac{64}{3}

Simplify

\frac{32}{3} - \frac{64}{3} : - \frac{32}{3}

= - \frac{32}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 8/3 of 3x-8 ?
The integral from 0 to 8/3 of 3x-8 is -32/3