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Popular >

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

Solution

\int_{- 1}^{3} ∣ 3 x - 2 ∣ d x

Solution

\frac{37}{3}

+1

Decimal Notation

12.33333 \dots

Solution steps

\int_{- 1}^{3} ∣ 3 x - 2 ∣ d x

Eliminate Absolutes

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

\int_{- 1}^{\frac{2}{3}} - 3 x + 2 d x = \frac{25}{6}

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

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

Simplify

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

= \frac{37}{3}

Popular Examples

integral from pi/2 to pi of x*cos(x)

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

integral from 1 to 2 of t^3ln(t)

\int_{1}^{2} t^{3} ln (t) d t

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

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

integral from 0 to 2 of 7xe^{4-x^2}

\int_{0}^{2} 7 x e^{4 - x^{2}} d x

integral from 2 to 5 of xe^x

\int_{2}^{5} x e^{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |3x-2| ?
The integral from-1 to 3 of |3x-2| is 37/3