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+4

Solution

\int x^{2} - 2 x + 4 d x

Solution

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

Solution steps

\int x^{2} - 2 x + 4 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 4 d x

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

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

\int 4 d x = 4 x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (5/(x^5)-2sqrt(x))

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

integral of 1/((sqrt(4-x^2))^3)

\int \frac{1}{( 4 - x ^{2} ) ^{3}} d x

integral of (4+sin(3x))cos(3x)

\int (4 + sin (3 x)) cos (3 x) d x

integral of (sqrt(x+2))/(1+sqrt(x+2))

\int \frac{x + 2}{1 + x + 2} d x

integral of 1/((2x-1)(x+5))

\int \frac{1}{( 2 x - 1 ) ( x + 5 )} d x

Frequently Asked Questions (FAQ)

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