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+2x+3

Solution

integral

x^{2} + 2 x + 3

Solution

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

Solution steps

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

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Popular Examples

integral of s/((s^2+1))integral

\frac{s}{( s ^{2} + 1 )}

integral of x^1 integral

x^{1}

integral of (x^4)/((x^3+1))integral

\frac{x ^{4}}{( x ^{3} + 1 )}

integral of x/3 integral

\frac{x}{3}

integral of sin(x^4)integral

sin (x^{4})

Frequently Asked Questions (FAQ)

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