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Popular >

integral from 0 to 18 of |x-9|

Solution

\int_{0}^{18} ∣ x - 9 ∣ d x

Solution

81

Solution steps

\int_{0}^{18} ∣ x - 9 ∣ d x

Eliminate Absolutes

= \int_{0}^{9} - x + 9 d x + \int_{9}^{18} x - 9 d x

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

\int_{9}^{18} x - 9 d x = \frac{81}{2}

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

Simplify

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

= 81

Graph

Popular Examples

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\int_{0}^{π} 1 cos (n) x d x

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\int_{- 0.5}^{0.5} x^{2} d x

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

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\int_{0}^{5} \frac{x}{a + b x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 18 of |x-9| ?
The integral from 0 to 18 of |x-9| is 81