en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2-2x+2

Solution

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

Solution

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

Solution steps

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

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

derivative of f(x)=(1-cos(x))/(sin(x))derivative of

f (x) = \frac{1 - cos ( x )}{sin ( x )}

slope of f(x)=x^2+2x+1 slope

f (x) = x^{2} + 2 x + 1

integral of (1-x)(e-x+1)

\int (1 - x) (e - x + 1) d x

derivative of 1/(2x^2-2x+1)

\frac{d}{d x} (\frac{1}{2 x ^{2} - 2 x + 1})

limit as x approaches infinity of pi5^x

x \to \infty lim (π 5^{x})

Frequently Asked Questions (FAQ)

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