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Popular >

integral from 0 to 4 of |x-2|

Solution

\int_{0}^{4} ∣ x - 2 ∣ d x

Solution

4

Solution steps

\int_{0}^{4} ∣ x - 2 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} - x + 2 d x + \int_{2}^{4} x - 2 d x

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

\int_{2}^{4} x - 2 d x = 2

= 2 + 2

Simplify

= 4

Popular Examples

integral of 1/(2x^2+9x+4)

\int \frac{1}{2 x ^{2} + 9 x + 4} d x

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y = x, y = 0, x = 0, x = 7

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y = x + 2, y = - 3 x + 6, y = \frac{2 - x}{3}

limit as x approaches+(-2) of 0

x \to + (- 2) lim (0)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |x-2| ?
The integral from 0 to 4 of |x-2| is 4