en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2x^2-4

Solution

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

Solution

\frac{2 x ^{3}}{3} - 4 x + C

Solution steps

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

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

\int 4 d x = 4 x

= \frac{2 x ^{3}}{3} - 4 x

Add a constant to the solution

= \frac{2 x ^{3}}{3} - 4 x + C

Popular Examples

integral of 4/(sqrt(x+4)+\sqrt{x)}

\int \frac{4}{x + 4 + x} d x

limit as x approaches-1 of 4x^3-2m

x \to - 1 lim (4 x^{3} - 2 m)

limit as x approaches 0-of (x^2)/2-1/x

x \to 0 - lim (\frac{x ^{2}}{2} - \frac{1}{x})

integral of 1/(sec(x)+1)

\int \frac{1}{sec ( x ) + 1} d x

tangent of y=sqrt(x),(49,7)tangent of

y = x, (49, 7)

Frequently Asked Questions (FAQ)

What is the integral of 2x^2-4 ?
The integral of 2x^2-4 is (2x^3)/3-4x+C