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 7 of (|x-2|-3)

Solution

\int_{- 1}^{7} (∣ x - 2 ∣ - 3) d x

Solution

- 7

Solution steps

\int_{- 1}^{7} ∣ x - 2 ∣ - 3 d x

Eliminate Absolutes

= \int_{- 1}^{2} - x + 2 - 3 d x + \int_{2}^{7} x - 2 - 3 d x

\int_{- 1}^{2} - x + 2 - 3 d x = - \frac{9}{2}

\int_{2}^{7} x - 2 - 3 d x = - \frac{5}{2}

= - \frac{9}{2} - \frac{5}{2}

Simplify

- \frac{9}{2} - \frac{5}{2} : - 7

= - 7

Popular Examples

integral from-1 to 8 of x^{1/3}

\int_{- 1}^{8} x^{\frac{1}{3}} d x

integral from 0 to r of (br^2+cr)r

\int_{0}^{r} (b r^{2} + cr) r d r

integral from 1 to 2 of 6/(sqrt(x))

\int_{1}^{2} \frac{6}{x} d x

integral from 2 to 3 of 3/(x-2)

\int_{2}^{3} \frac{3}{x - 2} d x

integral from 0 to 1 of e^{2x+1}

\int_{0}^{1} e^{2 x + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 7 of (|x-2|-3) ?
The integral from-1 to 7 of (|x-2|-3) is -7