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Popular >

integral from 0 to 10 of |x-3|

Solution

\int_{0}^{10} ∣ x - 3 ∣ d x

Solution

29

Solution steps

\int_{0}^{10} ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{0}^{3} - x + 3 d x + \int_{3}^{10} x - 3 d x

\int_{0}^{3} - x + 3 d x = \frac{9}{2}

\int_{3}^{10} x - 3 d x = \frac{49}{2}

= \frac{9}{2} + \frac{49}{2}

Simplify

\frac{9}{2} + \frac{49}{2} : 29

= 29

Graph

Popular Examples

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\int_{0}^{1} π (x - x^{6}) d x

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\int_{0}^{3} 7 d x

integral from 0 to 1 of arctan(1/x)

\int_{0}^{1} arctan (\frac{1}{x}) d x

integral from 1 to 2 of x(x^2+1)^5

\int_{1}^{2} x (x^{2} + 1)^{5} d x

integral from-1 to 3 of |3x-x^2|

\int_{- 1}^{3} 3 x - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 10 of |x-3| ?
The integral from 0 to 10 of |x-3| is 29