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Popular >

integral from 0 to 10 of |x-6|

Solution

\int_{0}^{10} ∣ x - 6 ∣ d x

Solution

26

Solution steps

\int_{0}^{10} ∣ x - 6 ∣ d x

Eliminate Absolutes

= \int_{0}^{6} - x + 6 d x + \int_{6}^{10} x - 6 d x

\int_{0}^{6} - x + 6 d x = 18

\int_{6}^{10} x - 6 d x = 8

= 18 + 8

Simplify

= 26

Popular Examples

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\int_{0}^{2 π} cos^{7} (x) d x

integral from 1 to 1.5 of 3/(2x^2)

\int_{1}^{1.5} \frac{3}{2 x ^{2}} d x

integral from 1 to 5 of 2*x

\int_{1}^{5} 2 \cdot x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 10 of |x-6| ?
The integral from 0 to 10 of |x-6| is 26