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Popular Calculus >

integral from-1 to 3 of |3x-4|

Solution

\int_{- 1}^{3} ∣ 3 x - 4 ∣ d x

Solution

\frac{37}{3}

+1

Decimal

12.33333 \dots

Solution steps

\int_{- 1}^{3} ∣ 3 x - 4 ∣ d x

Eliminate Absolutes

= \int_{- 1}^{\frac{4}{3}} - 3 x + 4 d x + \int_{\frac{4}{3}}^{3} 3 x - 4 d x

\int_{- 1}^{\frac{4}{3}} - 3 x + 4 d x = \frac{49}{6}

\int_{\frac{4}{3}}^{3} 3 x - 4 d x = \frac{25}{6}

= \frac{49}{6} + \frac{25}{6}

Simplify

\frac{49}{6} + \frac{25}{6} : \frac{37}{3}

= \frac{37}{3}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |3x-4| ?
The integral from-1 to 3 of |3x-4| is 37/3