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Popular >

integral from 2 to 5 of |x-4|

Solution

\int_{2}^{5} ∣ x - 4 ∣ d x

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

\int_{2}^{5} ∣ x - 4 ∣ d x

Eliminate Absolutes

= \int_{2}^{4} - x + 4 d x + \int_{4}^{5} x - 4 d x

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

\int_{4}^{5} x - 4 d x = \frac{1}{2}

= 2 + \frac{1}{2}

Simplify

2 + \frac{1}{2} : \frac{5}{2}

= \frac{5}{2}

Popular Examples

integral from 0 to 2 of 5x(x-7)

\int_{0}^{2} 5 x (x - 7) d x

integral from-2 to 2 of (1-|x|^3)

\int_{- 2}^{2} (1 - ∣ x ∣^{3}) d x

integral from-4 to-1 of 1/x

\int_{- 4}^{- 1} \frac{1}{x} d x

integral from 0 to 1 of (6x)/(x^2+1)

\int_{0}^{1} \frac{6 x}{x ^{2} + 1} d x

integral from 0 to pi of (sin^3(x))

\int_{0}^{π} (sin^{3} (x)) d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 5 of |x-4| ?
The integral from 2 to 5 of |x-4| is 5/2