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Popular >

integral from 0 to 3 of |3x-7|

Solution

\int_{0}^{3} ∣ 3 x - 7 ∣ d x

Solution

\frac{53}{6}

+1

Decimal

8.83333 \dots

Solution steps

\int_{0}^{3} ∣ 3 x - 7 ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{7}{3}} - 3 x + 7 d x + \int_{\frac{7}{3}}^{3} 3 x - 7 d x

\int_{0}^{\frac{7}{3}} - 3 x + 7 d x = \frac{49}{6}

\int_{\frac{7}{3}}^{3} 3 x - 7 d x = \frac{2}{3}

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

Simplify

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

= \frac{53}{6}

Graph

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\int_{- 5}^{5} π d x

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\int_{- 2}^{2} (10 x^{9} + 25 x^{11}) d x

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\int_{1}^{3} 95 + 300 t^{2} - 10 t d t

integral from 1 to 3 of (3x^2-5)

\int_{1}^{3} (3 x^{2} - 5) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |3x-7| ?
The integral from 0 to 3 of |3x-7| is 53/6