What is the integral of 3x^2+2x+3 ?

The integral of 3x^2+2x+3 is x^3+x^2+3x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^2+2x+3

\int 3 x^{2} + 2 x + 3 d x

x^{3} + x^{2} + 3 x + C

Solution steps

\int 3 x^{2} + 2 x + 3 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 3 x^{2} d x + \int 2 x d x + \int 3 d x

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

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

\int 3 d x = 3 x

= x^{3} + x^{2} + 3 x

Add a constant to the solution

= x^{3} + x^{2} + 3 x + C

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

\int (2 x - 5)^{4} d x

\int cos (x) + \frac{1}{6} x d x

\int \frac{9}{x ^{6}} d x