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Popular >

integral from-9 to 9 of |x|

Solution

\int_{- 9}^{9} ∣ x ∣ d x

Solution

81

Solution steps

\int_{- 9}^{9} ∣ x ∣ d x

Eliminate Absolutes

= \int_{- 9}^{0} - x d x + \int_{0}^{9} x d x

\int_{- 9}^{0} - x d x = \frac{81}{2}

\int_{0}^{9} x d x = \frac{81}{2}

= \frac{81}{2} + \frac{81}{2}

Simplify

\frac{81}{2} + \frac{81}{2} : 81

= 81

Graph

Popular Examples

integral from 0 to x of x/8

\int_{0}^{x} \frac{x}{8} d x

integral from 2 to 1 of 1/(x^2)

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

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

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

integral from 2 to 3 of (x^2+x-12)

\int_{2}^{3} (x^{2} + x - 12) d x

integral from 0 to pi of sin(x)sin(6x)

\int_{0}^{π} sin (x) sin (6 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-9 to 9 of |x| ?
The integral from-9 to 9 of |x| is 81