What is the integral of (3x^2-5x+3) ?

The integral of (3x^2-5x+3) is x^3-(5x^2)/2+3x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

\int (3 x^{2} - 5 x + 3) d x

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

Solution steps

\int 3 x^{2} - 5 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 5 x d x + \int 3 d x

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

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 3 d x = 3 x

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

Add a constant to the solution

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

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