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 5 of |2x-3|

Solution

\int_{- 1}^{5} ∣ 2 x - 3 ∣ d x

Solution

\frac{37}{2}

+1

Decimal Notation

18.5

Solution steps

\int_{- 1}^{5} ∣ 2 x - 3 ∣ d x

Eliminate Absolutes

= \int_{- 1}^{\frac{3}{2}} - 2 x + 3 d x + \int_{\frac{3}{2}}^{5} 2 x - 3 d x

\int_{- 1}^{\frac{3}{2}} - 2 x + 3 d x = \frac{25}{4}

\int_{\frac{3}{2}}^{5} 2 x - 3 d x = \frac{49}{4}

= \frac{25}{4} + \frac{49}{4}

Simplify

\frac{25}{4} + \frac{49}{4} : \frac{37}{2}

= \frac{37}{2}

Popular Examples

d/(dt)(sqrt((1-2t)/(1+2t)))

\frac{d}{d t} (\frac{1 - 2 t}{1 + 2 t})

inverse oflaplace-(2s+1)/(s^2+3s+2)inverse laplace

- \frac{2 s + 1}{s ^{2} + 3 s + 2}

(\partial)/(\partial y)(x^3y^6)

\frac{\partial}{\partial y} (x^{3} y^{6})

integral of (3x^{-2}-4x^2+1)

\int (3 x^{- 2} - 4 x^{2} + 1) d x

(\partial)/(\partial x)(e^{-9x}cos(θ))

\frac{\partial}{\partial x} (e^{- 9 x} cos (θ))

Frequently Asked Questions (FAQ)

What is the integral from-1 to 5 of |2x-3| ?
The integral from-1 to 5 of |2x-3| is 37/2