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Popular >

integral from 0 to 3 of |5x-8|

Solution

\int_{0}^{3} ∣ 5 x - 8 ∣ d x

Solution

\frac{113}{10}

+1

Decimal

11.3

Solution steps

\int_{0}^{3} ∣ 5 x - 8 ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{8}{5}} - 5 x + 8 d x + \int_{\frac{8}{5}}^{3} 5 x - 8 d x

\int_{0}^{\frac{8}{5}} - 5 x + 8 d x = \frac{32}{5}

\int_{\frac{8}{5}}^{3} 5 x - 8 d x = \frac{49}{10}

= \frac{32}{5} + \frac{49}{10}

Simplify

\frac{32}{5} + \frac{49}{10} : \frac{113}{10}

= \frac{113}{10}

Graph

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\int_{- 1}^{1} x (2 x - sin (x^{2})) d x

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\int_{4}^{8} (\frac{1}{x ^{2}}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |5x-8| ?
The integral from 0 to 3 of |5x-8| is 113/10