en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2-7x+9

Solution

\int x^{2} - 7 x + 9 d x

Solution

\frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + 9 x + C

Solution steps

\int x^{2} - 7 x + 9 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 7 x d x + \int 9 d x

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

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 9 d x = 9 x

= \frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + 9 x

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + 9 x + C

Graph

Popular Examples

integral of (x^3+24)/(x^2+7x+12)

\int \frac{x ^{3} + 24}{x ^{2} + 7 x + 12} d x

integral of (e^{-st})

\int (e^{- s t}) d t

integral of cos(3x)8

\int cos (3 x) 8 d x

integral of (2x-1/x)

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

integral of (2+sin(x))/(1+x^2)

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

Frequently Asked Questions (FAQ)

What is the integral of x^2-7x+9 ?
The integral of x^2-7x+9 is (x^3)/3-(7x^2)/2+9x+C