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Popular >

integral from 2 to 4 of |x-3|

Solution

\int_{2}^{4} ∣ x - 3 ∣ d x

Solution

1

Solution steps

\int_{2}^{4} ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{2}^{3} - x + 3 d x + \int_{3}^{4} x - 3 d x

\int_{2}^{3} - x + 3 d x = \frac{1}{2}

\int_{3}^{4} x - 3 d x = \frac{1}{2}

= \frac{1}{2} + \frac{1}{2}

Simplify

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

= 1

Graph

Popular Examples

integral from-1 to 2 of 4x^2

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

integral from 3 to 4 of x^2-x-6

\int_{3}^{4} x^{2} - x - 6 d x

integral from 0 to 2 of xe^{3x}

\int_{0}^{2} x e^{3 x} d x

integral from 9 to 10 of (x-10)^9

\int_{9}^{10} (x - 10)^{9} d x

integral from 3 to 5 of x/(x^2-4)

\int_{3}^{5} \frac{x}{x ^{2} - 4} d x

Frequently Asked Questions (FAQ)

What is the integral from 2 to 4 of |x-3| ?
The integral from 2 to 4 of |x-3| is 1