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 13 of |x-10|

Solution

\int_{0}^{13} ∣ x - 10 ∣ d x

Solution

\frac{109}{2}

+1

Decimal

54.5

Solution steps

\int_{0}^{13} ∣ x - 10 ∣ d x

Eliminate Absolutes

= \int_{0}^{10} - x + 10 d x + \int_{10}^{13} x - 10 d x

\int_{0}^{10} - x + 10 d x = 50

\int_{10}^{13} x - 10 d x = \frac{9}{2}

= 50 + \frac{9}{2}

Simplify

50 + \frac{9}{2} : \frac{109}{2}

= \frac{109}{2}

Graph

Popular Examples

integral from 0 to tan(θ) of sec^2(y)

\int_{0}^{t a n (θ)} sec^{2} (y) d y

integral from 0 to 2pi of sin(4x)

\int_{0}^{2 π} sin (4 x) d x

integral from 0 to 2 of 6x^2y-2x

\int_{0}^{2} 6 x^{2} y - 2 x d y

integral from 0 to 2pi of 9cos^2(x)

\int_{0}^{2 π} 9 cos^{2} (x) d x

integral from 0 to 2a of e^xx^2

\int_{0}^{2 a} e^{x} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 13 of |x-10| ?
The integral from 0 to 13 of |x-10| is 109/2