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Popular >

integral from-1 to 4 of |x-1|

Solution

\int_{- 1}^{4} ∣ x - 1 ∣ d x

Solution

\frac{13}{2}

+1

Decimal

6.5

Solution steps

\int_{- 1}^{4} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

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

\int_{1}^{4} x - 1 d x = \frac{9}{2}

= 2 + \frac{9}{2}

Simplify

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

= \frac{13}{2}

Graph

Popular Examples

integral from 0 to 2 of 2+x

\int_{0}^{2} 2 + x d x

integral from 0 to ln(3) of e^{x+y}

\int_{0}^{l n (3)} e^{x + y} d y

integral from-1 to 2 of x^{-2}

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

integral from 0 to y of e^{x/y}

\int_{0}^{y} e^{\frac{x}{y}} d x

integral from pi/4 to pi/2 of cot(y)

\int_{\frac{π}{4}}^{\frac{π}{2}} cot (y) d y

Frequently Asked Questions (FAQ)

What is the integral from-1 to 4 of |x-1| ?
The integral from-1 to 4 of |x-1| is 13/2