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Popular >

integral from 1 to 4 of |x-3|

Solution

\int_{1}^{4} ∣ x - 3 ∣ d x

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

\int_{1}^{4} ∣ x - 3 ∣ d x

Eliminate Absolutes

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

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

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

= 2 + \frac{1}{2}

Simplify

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

= \frac{5}{2}

Popular Examples

derivative of-x^2+4x-3

\frac{d}{d x} (- x^{2} + 4 x - 3)

derivative of ln(1+1/(x^2))

\frac{d}{d x} (ln (1 + \frac{1}{x ^{2}}))

slope of f(1)= 8/x-xsqrt(x)slope

f (1) = \frac{8}{x} - x x

integral of sqrt(4x^2+7)

\int 4 x^{2} + 7 d x

(\partial)/(\partial x)(4x^2sqrt(y^3-xz))

\frac{\partial}{\partial x} (4 x^{2} y^{3} - x z)

Frequently Asked Questions (FAQ)

What is the integral from 1 to 4 of |x-3| ?
The integral from 1 to 4 of |x-3| is 5/2