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Popular >

integral from-1 to 2 of |x-1|

Solution

\int_{- 1}^{2} ∣ x - 1 ∣ d x

Solution

\frac{5}{2}

+1

Decimal

2.5

Solution steps

\int_{- 1}^{2} ∣ x - 1 ∣ d x

Eliminate Absolutes

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

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

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

= 2 + \frac{1}{2}

Simplify

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

= \frac{5}{2}

Graph

Popular Examples

integral from-2 to 2 of xln(1+x^4)

\int_{- 2}^{2} x ln (1 + x^{4}) d x

integral from 0 to 2pi of sin(t)cos(t)

\int_{0}^{2 π} sin (t) cos (t) d t

integral from 0 to pi/2 of 1/(sin(x))

\int_{0}^{\frac{π}{2}} \frac{1}{sin ( x )} d x

integral from sin(x) to cos(x) of t^2

\int_{s i n (x)}^{c o s (x)} t^{2} d t

integral from 0 to x of x/2

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

Frequently Asked Questions (FAQ)

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