en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x^4+3x-9

Solution

\int x^{4} + 3 x - 9 d x

Solution

\frac{x ^{5}}{5} + \frac{3 x ^{2}}{2} - 9 x + C

Solution steps

\int x^{4} + 3 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^{4} d x + \int 3 x d x - \int 9 d x

\int x^{4} d x = \frac{x ^{5}}{5}

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

\int 9 d x = 9 x

= \frac{x ^{5}}{5} + \frac{3 x ^{2}}{2} - 9 x

Add a constant to the solution

= \frac{x ^{5}}{5} + \frac{3 x ^{2}}{2} - 9 x + C

Graph

Popular Examples

integral of x^2sqrt(x^3)+1

integral of 1/(\sqrt[3]{2+3x)}

integral of x/(x+1)

integral of cos(6x)cos(9x)

integral of (x^2+2x)sqrt(x^3+3x^2-5)

Frequently Asked Questions (FAQ)

What is the integral of x^4+3x-9 ?
The integral of x^4+3x-9 is (x^5)/5+(3x^2)/2-9x+C