en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

\int_{- 1}^{1} ∣ 2 x - 1 ∣ d x

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

\int_{- 1}^{1} ∣ 2 x - 1 ∣ d x

Eliminate Absolutes

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

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

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

= \frac{9}{4} + \frac{1}{4}

Simplify

\frac{9}{4} + \frac{1}{4} : \frac{5}{2}

= \frac{5}{2}

Popular Examples

derivative of 2tan(cos(3x))

\frac{d}{d x} (2 tan (cos (3 x)))

integral of sin(29x)

\int sin (29 x) d x

integral from 0 to ln(4) of (e^x)/(sqrt(e^{2x)+81)}

\int_{0}^{l n (4)} \frac{e ^{x}}{e ^{2 x} + 81} d x

derivative of f(x)=(x^3-6x^2+3)/(x^2)derivative of

f (x) = \frac{x ^{3} - 6 x ^{2} + 3}{x ^{2}}

integral of tan^3(θ)sec^3(θ)

\int tan^{3} (θ) sec^{3} (θ) d θ

Frequently Asked Questions (FAQ)

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