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Popular Calculus >

integral from 0 to 3 of |5x-9|

Solution

\int_{0}^{3} ∣ 5 x - 9 ∣ d x

Solution

\frac{117}{10}

+1

Decimal

11.7

Solution steps

\int_{0}^{3} ∣ 5 x - 9 ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{9}{5}} - 5 x + 9 d x + \int_{\frac{9}{5}}^{3} 5 x - 9 d x

\int_{0}^{\frac{9}{5}} - 5 x + 9 d x = \frac{81}{10}

\int_{\frac{9}{5}}^{3} 5 x - 9 d x = \frac{18}{5}

= \frac{81}{10} + \frac{18}{5}

Simplify

\frac{81}{10} + \frac{18}{5} : \frac{117}{10}

= \frac{117}{10}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |5x-9| ?
The integral from 0 to 3 of |5x-9| is 117/10