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Popular >

integral from 0 to 5 of |x-3|

Solution

\int_{0}^{5} ∣ x - 3 ∣ d x

Solution

\frac{13}{2}

+1

Decimal Notation

6.5

Solution steps

\int_{0}^{5} ∣ x - 3 ∣ d x

Eliminate Absolutes

= \int_{0}^{3} - x + 3 d x + \int_{3}^{5} x - 3 d x

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

\int_{3}^{5} x - 3 d x = 2

= \frac{9}{2} + 2

Simplify

\frac{9}{2} + 2 : \frac{13}{2}

= \frac{13}{2}

Popular Examples

integral of x13^x

\int x 1 3^{x} d x

integral of y^2sinh(5y)

\int y^{2} sinh (5 y) d y

integral from 0 to 1 of integral from 0 to sqrt(x of)(4-2y)/((1+x)^2)

\int_{0}^{1} \int_{0}^{x} \frac{4 - 2 y}{( 1 + x ) ^{2}} d y d x

integral from 0 to pi/(24) of cos(6x)

\int_{0}^{\frac{π}{24}} cos (6 x) d x

(\partial)/(\partial z)(3ye^{-z})

\frac{\partial}{\partial z} (3 y e^{- z})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 5 of |x-3| ?
The integral from 0 to 5 of |x-3| is 13/2