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Popular >

integral from-1 to 1 of (2-|x|)

Solution

\int_{- 1}^{1} (2 - ∣ x ∣) d x

Solution

3

Solution steps

\int_{- 1}^{1} 2 - ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} 2 - (- x) d x + \int_{0}^{1} 2 - x d x

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

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

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

Simplify

\frac{3}{2} + \frac{3}{2} : 3

= 3

Popular Examples

integral of 1/(x^{2021)}

\int \frac{1}{x ^{2021}} d x

limit as x approaches 2 of f(x)x

x \to 2 lim (f (x) x)

4y^{''}+2y^'+4y=100

4 y^{^{''}} + 2 y^{^{'}} + 4 y = 100

slope of (5)(7.5)slope

(5) (7.5)

integral of ((5x^2+2x-5))/(x^3-x)

\int \frac{( 5 x ^{2} + 2 x - 5 )}{x ^{3} - x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (2-|x|) ?
The integral from-1 to 1 of (2-|x|) is 3