en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2-2x^2

Solution

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

Solution

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

Solution steps

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

\int 2 d x = 2 x

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

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

Add a constant to the solution

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

Popular Examples

taylor 1+(1+x)/(1-x)taylor

1 + \frac{1 + x}{1 - x}

(\partial)/(\partial x)(x^3e^x+cos(y))

\frac{\partial}{\partial x} (x^{3} e^{x} + cos (y))

derivative of a-x

\frac{d}{d x} (a - x)

integral of 3xln(6x)

\int 3 x ln (6 x) d x

integral of (ln(x+a))/(sqrt(x+a))

\int \frac{ln ( x + a )}{x + a} d x

Frequently Asked Questions (FAQ)

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