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 3 of |3t-7|

Solution

\int_{0}^{3} ∣ 3 t - 7 ∣ d t

Solution

\frac{53}{6}

+1

Decimal Notation

8.83333 \dots

Solution steps

\int_{0}^{3} ∣ 3 t - 7 ∣ d t

Eliminate Absolutes

= \int_{0}^{\frac{7}{3}} - 3 t + 7 d t + \int_{\frac{7}{3}}^{3} 3 t - 7 d t

\int_{0}^{\frac{7}{3}} - 3 t + 7 d t = \frac{49}{6}

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

= \frac{49}{6} + \frac{2}{3}

Simplify

\frac{49}{6} + \frac{2}{3} : \frac{53}{6}

= \frac{53}{6}

Popular Examples

integral from 0 to 1 of z

\int_{0}^{1} z d z

integral from 1 to 100 of e^x

\int_{1}^{100} e^{x} d x

integral from-pi to pi of cos(x)cos(nx)

\int_{- π}^{π} cos (x) cos (n x) d x

integral from 2 to 5 of (x^2-2x-4)

\int_{2}^{5} (x^{2} - 2 x - 4) d x

integral from-1 to 1 of (x^3-3x^2)

\int_{- 1}^{1} (x^{3} - 3 x^{2}) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of |3t-7| ?
The integral from 0 to 3 of |3t-7| is 53/6