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Popular >

integral from 0 to 13 of |x-9|

Solution

\int_{0}^{13} ∣ x - 9 ∣ d x

Solution

\frac{97}{2}

+1

Decimal Notation

48.5

Solution steps

\int_{0}^{13} ∣ x - 9 ∣ d x

Eliminate Absolutes

= \int_{0}^{9} - x + 9 d x + \int_{9}^{13} x - 9 d x

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

\int_{9}^{13} x - 9 d x = 8

= \frac{81}{2} + 8

Simplify

\frac{81}{2} + 8 : \frac{97}{2}

= \frac{97}{2}

Popular Examples

integral from 0 to pi of (sin(nx))^2

\int_{0}^{π} (sin (n x))^{2} d x

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\int_{0}^{1} sin (\frac{π x}{2}) d x

integral from 1 to 3 of (x^2+3x)

\int_{1}^{3} (x^{2} + 3 x) d x

integral from a to infinity of 1/x

\int_{a}^{\infty} \frac{1}{x} d x

integral from-1 to 2 of 4x^5-x^2-7x

\int_{- 1}^{2} 4 x^{5} - x^{2} - 7 x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 13 of |x-9| ?
The integral from 0 to 13 of |x-9| is 97/2