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Popular >

integral from 0 to 1 of |3x-2|

Solution

\int_{0}^{1} ∣ 3 x - 2 ∣ d x

Solution

\frac{5}{6}

+1

Decimal

0.83333 \dots

Solution steps

\int_{0}^{1} ∣ 3 x - 2 ∣ d x

Eliminate Absolutes

= \int_{0}^{\frac{2}{3}} - 3 x + 2 d x + \int_{\frac{2}{3}}^{1} 3 x - 2 d x

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

\int_{\frac{2}{3}}^{1} 3 x - 2 d x = \frac{1}{6}

= \frac{2}{3} + \frac{1}{6}

Simplify

\frac{2}{3} + \frac{1}{6} : \frac{5}{6}

= \frac{5}{6}

Graph

Popular Examples

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x \to 4 lim (\frac{∣ 3 - x ∣}{3 - x})

integral from 0 to pi/4 of cos^2(x)

\int_{0}^{\frac{π}{4}} cos^{2} (x) d x

(\partial)/(\partial y)(4e^y)

\frac{\partial}{\partial y} (4 e^{y})

4y^{''}+7y^'-2y=0

4 y^{^{''}} + 7 y^{^{'}} - 2 y = 0

integral of ((x+1))/(x^2)

\int \frac{( x + 1 )}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of |3x-2| ?
The integral from 0 to 1 of |3x-2| is 5/6