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Popular >

integral from 0 to 6 of |x-2|

Solution

\int_{0}^{6} ∣ x - 2 ∣ d x

Solution

10

Solution steps

\int_{0}^{6} ∣ x - 2 ∣ d x

Eliminate Absolutes

= \int_{0}^{2} - x + 2 d x + \int_{2}^{6} x - 2 d x

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

\int_{2}^{6} x - 2 d x = 8

= 2 + 8

Simplify

= 10

Popular Examples

integral from 0 to 1 of-x^2-3x

\int_{0}^{1} - x^{2} - 3 x d x

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

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

integral from-2 to 1 of (2-x)-x^2

\int_{- 2}^{1} (2 - x) - x^{2} d x

integral from 0 to x of 1/((1+x)^2)

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

integral from 4 to 7 of (2x+1)e^{0.4x}

\int_{4}^{7} (2 x + 1) e^{0.4 x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of |x-2| ?
The integral from 0 to 6 of |x-2| is 10