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Popular >

integral from 0 to 3 of |3x-2|

Solution

\int_{0}^{3} ∣ 3 x - 2 ∣ d x

Solution

\frac{53}{6}

+1

Decimal

8.83333 \dots

Solution steps

\int_{0}^{3} ∣ 3 x - 2 ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{2}{3}} - 3 x + 2 d x + \int_{\frac{2}{3}}^{3} 3 x - 2 d x

\int_{0}^{\frac{2}{3}} - 3 x + 2 d x = \frac{2}{3}

\int_{\frac{2}{3}}^{3} 3 x - 2 d x = \frac{49}{6}

= \frac{2}{3} + \frac{49}{6}

Simplify

\frac{2}{3} + \frac{49}{6} : \frac{53}{6}

= \frac{53}{6}

Graph

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\int_{- 1}^{2} x^{2} + e^{2 x} d x

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\int_{- 2}^{0} x 2 x^{2} + 1 d x

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\int_{0}^{1} (1 + \frac{9}{4} x)^{\frac{1}{2}} d x

integral from-2 to 3 of (2x+4)

\int_{- 2}^{3} (2 x + 4) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |3x-2| ?
The integral from 0 to 3 of |3x-2| is 53/6