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Popular >

integral from-1 to 5 of |x|

Solution

\int_{- 1}^{5} ∣ x ∣ d x

Solution

13

Solution steps

\int_{- 1}^{5} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 1}^{0} - x d x + \int_{0}^{5} x d x

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

\int_{0}^{5} x d x = \frac{25}{2}

= \frac{1}{2} + \frac{25}{2}

Simplify

\frac{1}{2} + \frac{25}{2} : 13

= 13

Popular Examples

integral from 0 to 1 of 2/5 (2x+3y)

\int_{0}^{1} \frac{2}{5} (2 x + 3 y) d y

integral from-2 to 3 of x^2

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

integral from 0 to 2 of te^{-st}

\int_{0}^{2} t e^{- s t} d t

integral from 0 to 3 of 2/(x+1)

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

integral from 0 to 1 of xsin(pix)

\int_{0}^{1} x sin (π x) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 5 of |x| ?
The integral from-1 to 5 of |x| is 13