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Popular >

integral from 0 to 8 of |x-4|

Solution

\int_{0}^{8} ∣ x - 4 ∣ d x

Solution

16

Solution steps

\int_{0}^{8} ∣ x - 4 ∣ d x

Eliminate Absolutes

= \int_{0}^{4} - x + 4 d x + \int_{4}^{8} x - 4 d x

\int_{0}^{4} - x + 4 d x = 8

\int_{4}^{8} x - 4 d x = 8

= 8 + 8

Simplify

= 16

Popular Examples

integral from-2 to 5 of 1

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

integral from 1 to 2 of (2x+3)

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

integral from 0 to 3 of x^2-1

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

integral from 4 to 7 of x^3

\int_{4}^{7} x^{3} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 8 of |x-4| ?
The integral from 0 to 8 of |x-4| is 16