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

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

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

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

Solution steps

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

\int 5 x^{2} d x = \frac{5 x ^{3}}{3}

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

x \to \infty lim (5 x + \frac{1}{x})

\frac{\partial}{\partial x} (t^{2} + 4 x^{3})

\int - \frac{1}{3} cos (3 x) d x

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

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