en

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

Solution

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

Solution

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

Solution steps

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

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

= x^{3} - x^{2}

Add a constant to the solution

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

Popular Examples

derivative of (8x)/(5-cot(x))derivative of

\frac{8 x}{5 - cot ( x )}

derivative of xarccos(1/x)

\frac{d}{d x} (x arccos (\frac{1}{x}))

integral of ae^{-bx}

\int a e^{- b x} d x

(dy)/(dx)=y(1-0.0008y)

\frac{d y}{d x} = y (1 - 0.0008 y)

derivative of 9sqrt(x)+7

\frac{d}{d x} (9 x + 7)

Frequently Asked Questions (FAQ)

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