en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 8x-2x^2

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial y)(cos(xy)-e^z+2)

\frac{\partial}{\partial y} (cos (x y) - e^{z} + 2)

(\partial)/(\partial y)(rcos(y))

\frac{\partial}{\partial y} (r cos (y))

derivative of 4x^2-5x+4

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

derivative of f(x)=x^{4cos(x)}derivative of

f (x) = x^{4 c o s (x)}

limit as n approaches infinity of-10^n

n \to \infty lim (- 1 0^{n})

Frequently Asked Questions (FAQ)

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