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Popular >

integral from 0 to 8 of |4-x|

Solution

\int_{0}^{8} ∣ 4 - x ∣ d x

Solution

16

Solution steps

\int_{0}^{8} ∣ 4 - x ∣ d x

Eliminate Absolutes

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

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

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

= 8 + 8

Simplify

= 16

Popular Examples

integral from 2 to 4 of (4x^2)

\int_{2}^{4} (4 x^{2}) d x

integral from 1 to 2 of x^2*ln(x)

\int_{1}^{2} x^{2} \cdot ln (x) d x

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

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

integral from 0 to pi/2 of cos(x-y)

\int_{0}^{\frac{π}{2}} cos (x - y) d x

integral from-1 to 2 of 4x+15

\int_{- 1}^{2} 4 x + 15 d x

Frequently Asked Questions (FAQ)

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