What is the integral from 0 to 2 of 4x^3-3x^2+2x ?

The integral from 0 to 2 of 4x^3-3x^2+2x is 12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of 4x^3-3x^2+2x

\int_{0}^{2} 4 x^{3} - 3 x^{2} + 2 x d x

12

Solution steps

\int_{0}^{2} 4 x^{3} - 3 x^{2} + 2 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}^{2} 4 x^{3} d x - \int_{0}^{2} 3 x^{2} d x + \int_{0}^{2} 2 x d x

\int_{0}^{2} 4 x^{3} d x = 16

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 2 x d x = 4

= 16 - 8 + 4

Simplify

= 12

\frac{( 3 s + 5 )}{( s - 5 ) ( s + 2 )}

\int \frac{4 x}{x ^{2} + 9} d x

\frac{d}{d x} ((x^{3} + 1) e^{x})

\frac{1}{2 x + 2}

\frac{d}{d x} (\frac{ln ( 7 x )}{7 x})

What is the integral from 0 to 2 of 4x^3-3x^2+2x ?
The integral from 0 to 2 of 4x^3-3x^2+2x is 12