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Popular >

integral from 2 to 5 of |x-3|

Solution

\int_{2}^{5} ∣ x - 3 ∣ d x

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

\int_{2}^{5} ∣ x - 3 ∣ d x

Eliminate Absolutes

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

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

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

= \frac{1}{2} + 2

Simplify

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

= \frac{5}{2}

Popular Examples

(x^2+1)y^'+8x(y-1)=0

(x^{2} + 1) y^{^{'}} + 8 x (y - 1) = 0

derivative of x^4-8x^3 derivative of

x^{4} - 8 x^{3}

(\partial)/(\partial x)(3/(3x+2y))

\frac{\partial}{\partial x} (\frac{3}{3 x + 2 y})

(dy)/(dx)=(xy+x^2+y^2)/(x^2)

\frac{d y}{d x} = \frac{x y + x ^{2} + y ^{2}}{x ^{2}}

derivative of 3x^3-4

\frac{d}{d x} (3 x^{3} - 4)

Frequently Asked Questions (FAQ)

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