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Popular >

integral from 0 to 4 of |x-3|

Solution

\int_{0}^{4} ∣ x - 3 ∣ d x

Solution

5

Solution steps

\int_{0}^{4} ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{0}^{3} - x + 3 d x + \int_{3}^{4} x - 3 d x

\int_{0}^{3} - x + 3 d x = \frac{9}{2}

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

= \frac{9}{2} + \frac{1}{2}

Simplify

\frac{9}{2} + \frac{1}{2} : 5

= 5

Graph

Popular Examples

derivative of f(x)=(4x^2+4x+6)/(sqrt(x))derivative of

f (x) = \frac{4 x ^{2} + 4 x + 6}{x}

integral of (x^3+x^2+x+3)/(x^4+4x^2+3)

\int \frac{x ^{3} + x ^{2} + x + 3}{x ^{4} + 4 x ^{2} + 3} d x

derivative of (x^2+8^5)

\frac{d}{d x} ((x^{2} + 8)^{5})

integral of (1-x)(2+x^3)

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

derivative of (x^2+6)/(5x-2)derivative of

\frac{x ^{2} + 6}{5 x - 2}

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |x-3| ?
The integral from 0 to 4 of |x-3| is 5