en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2x^2+9

Solution

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

Solution

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

Solution steps

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

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

\int 9 d x = 9 x

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

Add a constant to the solution

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

Popular Examples

integral of 7x^2+2sqrt(x)+1/(x^3)

\int 7 x^{2} + 2 x + \frac{1}{x ^{3}} d x

integral of ((x^2-a^2)^{1/2})/x

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

integral of sin((3x)/5)

\int sin (\frac{3 x}{5}) d x

integral of 6(5-6x)^4

\int 6 (5 - 6 x)^{4} d x

integral of 1/(u^p)

\int \frac{1}{u ^{p}} d u

Frequently Asked Questions (FAQ)

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