What is the integral of 3x^2-7x+2 ?

The integral of 3x^2-7x+2 is x^3-(7x^2)/2+2x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^2-7x+2

\int 3 x^{2} - 7 x + 2 d x

x^{3} - \frac{7 x ^{2}}{2} + 2 x + C

Solution steps

\int 3 x^{2} - 7 x + 2 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 7 x d x + \int 2 d x

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

\int 7 x d x = \frac{7 x ^{2}}{2}

\int 2 d x = 2 x

= x^{3} - \frac{7 x ^{2}}{2} + 2 x

Add a constant to the solution

= x^{3} - \frac{7 x ^{2}}{2} + 2 x + C

\int \frac{x + 3}{x ^{2} + 4 x + 13} d x

\int \frac{1}{4 x ^{2} + 12 x + 25} d x

\int y^{5} y^{3} - 2 d y

\int sin (\frac{v}{3}) cos (\frac{v}{3}) d v

\int (\frac{2 x ^{4} - x}{x ^{3}}) d x

What is the integral of 3x^2-7x+2 ?
The integral of 3x^2-7x+2 is x^3-(7x^2)/2+2x+C