en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4x-6x^2

Solution

\int 4 x - 6 x^{2} d x

Solution

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

Solution steps

\int 4 x - 6 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 4 x d x - \int 6 x^{2} d x

\int 4 x d x = 2 x^{2}

\int 6 x^{2} d x = 2 x^{3}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of x*tan(x/3)

\int x \cdot tan (\frac{x}{3}) d x

integral of 1/(x^2)(sqrt(1+1/x))

\int \frac{1}{x ^{2}} (1 + \frac{1}{x}) d x

integral of (-6x)/(x^2+1)

\int \frac{- 6 x}{x ^{2} + 1} d x

integral of y/(1-y)

\int \frac{y}{1 - y} d y

integral of 2/(\sqrt[4]{x^5)}

\int \frac{2}{4 x ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral of 4x-6x^2 ?
The integral of 4x-6x^2 is 2x^2-2x^3+C