en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (1-4x^2)

Solution

\int (1 - 4 x^{2}) d x

Solution

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

Solution steps

\int 1 - 4 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 1 d x - \int 4 x^{2} d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Popular Examples

derivative of (2x-3^{ln(x)})

\frac{d}{d x} ((2 x - 3)^{l n (x)})

derivative of x^3y-2x^2+y^4

\frac{d}{d x} (x^{3} y - 2 x^{2} + y^{4})

integral of e^{-y/x}

\int e^{- \frac{y}{x}} d y

integral of (sin(x))/(1-sin^2(x))

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

f(x)=(1-cos(x))/x

f (x) = \frac{1 - cos ( x )}{x}

Frequently Asked Questions (FAQ)

What is the integral of (1-4x^2) ?
The integral of (1-4x^2) is x-(4x^3)/3+C