en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 7 of |5-x|

Solution

\int_{0}^{7} ∣ 5 - x ∣ d x

Solution

\frac{29}{2}

+1

Decimal

14.5

Solution steps

\int_{0}^{7} ∣ 5 - x ∣ d x

Eliminate Absolutes

= \int_{0}^{5} 5 - x d x + \int_{5}^{7} - 5 + x d x

\int_{0}^{5} 5 - x d x = \frac{25}{2}

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

= \frac{25}{2} + 2

Simplify

\frac{25}{2} + 2 : \frac{29}{2}

= \frac{29}{2}

Graph

Popular Examples

integral from 0 to 1 of t^4

\int_{0}^{1} t^{4} d t

integral from 0 to 4 of (4t-1)^2

\int_{0}^{4} (4 t - 1)^{2} d t

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

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

integral from sqrt(pi/(12)) to sqrt(pi/9 of)5xtan^4(3x^2)sec^2(3x^2)

\int_{\frac{π}{12}}^{\frac{π}{9}} 5 x tan^{4} (3 x^{2}) sec^{2} (3 x^{2}) d x

integral from 0 to 1 of x^{5/6}

\int_{0}^{1} x^{\frac{5}{6}} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 7 of |5-x| ?
The integral from 0 to 7 of |5-x| is 29/2