en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2-9x+2

Solution

\int x^{2} - 9 x + 2 d x

Solution

\frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 2 x + C

Solution steps

\int x^{2} - 9 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 9 x d x + \int 2 d x

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

\int 9 x d x = \frac{9 x ^{2}}{2}

\int 2 d x = 2 x

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 2 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{9 x ^{2}}{2} + 2 x + C

Popular Examples

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

\frac{( - e ^{x} )}{x + 1}

integral of (13)/((x-2)(x^2+9))

\int \frac{13}{( x - 2 ) ( x ^{2} + 9 )} d x

integral of sqrt(x^2+4x-5)

\int x^{2} + 4 x - 5 d x

limit as x approaches 7+of 1/(x+7)

x \to 7 + lim (\frac{1}{x + 7})

limit as x approaches 0 of (2sin(3x))/(5x)

x \to 0 lim (\frac{2 sin ( 3 x )}{5 x})

Frequently Asked Questions (FAQ)

What is the integral of x^2-9x+2 ?
The integral of x^2-9x+2 is (x^3)/3-(9x^2)/2+2x+C