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 6 of x^2-6x

Solution

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

Solution

- 36

Solution steps

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

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

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

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

= 72 - 108

Simplify

= - 36

Popular Examples

area x^2,x+5 area

x^{2}, x + 5

y^{''}-6y^'+8y=2cos(3t),y(0)=2,y^'(0)=-4

y^{^{''}} - 6 y^{^{'}} + 8 y = 2 cos (3 t), y (0) = 2, y^{^{'}} (0) = - 4

e^{y} y^{^{'}} = e^{y} + 4 x

derivative of sec^2(2x)derivative of

sec^{2} (2 x)

ydx+(x^2+4x)dy=0

y d x + (x^{2} + 4 x) d y = 0

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of x^2-6x ?
The integral from 0 to 6 of x^2-6x is -36