en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6x^2-8x

Solution

\int 6 x^{2} - 8 x d x

Solution

2 x^{3} - 4 x^{2} + C

Solution steps

\int 6 x^{2} - 8 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 6 x^{2} d x - \int 8 x d x

\int 6 x^{2} d x = 2 x^{3}

\int 8 x d x = 4 x^{2}

= 2 x^{3} - 4 x^{2}

Add a constant to the solution

= 2 x^{3} - 4 x^{2} + C

Popular Examples

integral of 8-x

\int 8 - x d x

(dx)/(dt)+x/(25)=0.16

\frac{d x}{d t} + \frac{x}{25} = 0.16

derivative of 3x^2-x^2y+y^4

\frac{d}{d x} (3 x^{2} - x^{2} y + y^{4})

integral of (x+7)/(x^2+4x+8)

\int \frac{x + 7}{x ^{2} + 4 x + 8} d x

6y^'-3y=2e^{-2x},y(0)=10

6 y^{^{'}} - 3 y = 2 e^{- 2 x}, y (0) = 10

Frequently Asked Questions (FAQ)

What is the integral of 6x^2-8x ?
The integral of 6x^2-8x is 2x^3-4x^2+C