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Popular >

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

Solution

\int_{- 1}^{0} ∣ 3 x + 1 ∣ d x

Solution

\frac{5}{6}

+1

Decimal

0.83333 \dots

Solution steps

\int_{- 1}^{0} ∣ 3 x + 1 ∣ d x

Eliminate Absolutes

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

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

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

integral from-3 to 3 of sqrt(3+|x|)

\int_{- 3}^{3} 3 + ∣ x ∣ d x

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

\int_{0}^{4} \frac{x}{2 x ^{2} + 2} d x

integral from 1 to 9 of 3/(sqrt(x))

\int_{1}^{9} \frac{3}{x} d x

integral from 0 to l of xcos((npix)/l)

\int_{0}^{l} x cos (\frac{nπ x}{l}) d x

integral from 0 to 5 of 8x^3

\int_{0}^{5} 8 x^{3} d x

Frequently Asked Questions (FAQ)

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