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Popular Calculus >

integral from-1 to 3 of |x|

Solution

\int_{- 1}^{3} ∣ x ∣ d x

Solution

5

Solution steps

\int_{- 1}^{3} ∣ x ∣ d x

Eliminate Absolutes

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

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

\int_{0}^{3} x d x = \frac{9}{2}

= \frac{1}{2} + \frac{9}{2}

Simplify

\frac{1}{2} + \frac{9}{2} : 5

= 5

Graph

Popular Examples

integral of (6x+6)/(x^2+2x-3)

\int \frac{6 x + 6}{x ^{2} + 2 x - 3} d x

integral of 2xycos(xy^2)

\int 2 x y cos (x y^{2}) d y

derivative of a{r}(xc,x)

\frac{d}{d x} (a r (x) c, x)

y^{^{''}} - 8 y + 16 = 0

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

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

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of |x| ?
The integral from-1 to 3 of |x| is 5