en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral from 0 to 6 of (6y-y^2)

Solution

\int_{0}^{6} (6 y - y^{2}) d y

Solution

36

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int_{0}^{6} 6 y d y = 108

\int_{0}^{6} y^{2} d y = 72

= 108 - 72

Simplify

= 36

Graph

Popular Examples

integral from 2 to 3 of (x^2+5)

integral from pi/2 to pi of 1/(sec(x))

integral from 1 to 5 of (x^2+2)/x

integral from 0 to 1 of (e^{-0.2x})

integral from 0 to 12 of x^2

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of (6y-y^2) ?
The integral from 0 to 6 of (6y-y^2) is 36