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Popular Calculus >

integral from-1 to 1 of |x|

Solution

\int_{- 1}^{1} ∣ x ∣ d x

Solution

1

Solution steps

\int_{- 1}^{1} ∣ x ∣ d x

Eliminate Absolutes

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

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

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

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

Simplify

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

= 1

Graph

Popular Examples

integral of x^2(2x^3+3)^4

\int x^{2} (2 x^{3} + 3)^{4} d x

limit as x approaches 0 of (1+3/(x^2))^x

x \to 0 lim ((1 + \frac{3}{x ^{2}})^{x})

y^{^{''}} + b^{2} y = 0

y^'=((e^{x-y}))/(1+e^x)

y^{^{'}} = \frac{( e ^{x - y} )}{1 + e ^{x}}

integral of (24)/(x^2)

\int \frac{24}{x ^{2}} d x

Frequently Asked Questions (FAQ)

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