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Popular >

integral from-1 to 5 of |x-3|

Solution

\int_{- 1}^{5} ∣ x - 3 ∣ d x

Solution

10

Solution steps

\int_{- 1}^{5} ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{- 1}^{3} - x + 3 d x + \int_{3}^{5} x - 3 d x

\int_{- 1}^{3} - x + 3 d x = 8

\int_{3}^{5} x - 3 d x = 2

= 8 + 2

Simplify

= 10

Graph

Popular Examples

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\int_{1}^{4} 7 x^{- \frac{3}{2}} d x

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\int_{0}^{3} (4 x) d x

integral from 0 to 1 of x*sqrt(1+4x^2)

\int_{0}^{1} x \cdot 1 + 4 x^{2} d x

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

integral from 0 to b of 1/x

\int_{0}^{b} \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 5 of |x-3| ?
The integral from-1 to 5 of |x-3| is 10