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 14 of |x-7|

Solution

\int_{0}^{14} ∣ x - 7 ∣ d x

Solution

49

Solution steps

\int_{0}^{14} ∣ x - 7 ∣ d x

Eliminate Absolutes

= \int_{0}^{7} - x + 7 d x + \int_{7}^{14} x - 7 d x

\int_{0}^{7} - x + 7 d x = \frac{49}{2}

\int_{7}^{14} x - 7 d x = \frac{49}{2}

= \frac{49}{2} + \frac{49}{2}

Simplify

\frac{49}{2} + \frac{49}{2} : 49

= 49

Popular Examples

integral from 0 to 1+cos(θ) of r

\int_{0}^{1 + c o s (θ)} r d r

integral from x to x^4 of t^5

\int_{x}^{x^{4}} t^{5} d t

integral from 4 to 13 of 6xsqrt(x-4)

\int_{4}^{13} 6 x x - 4 d x

integral from 0 to 3 of 2y^2

\int_{0}^{3} 2 y^{2} d y

integral from 0 to 1 of (x^4+1)/(x^2+1)

\int_{0}^{1} \frac{x ^{4} + 1}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 14 of |x-7| ?
The integral from 0 to 14 of |x-7| is 49