en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x-2)2

Solution

\int (x - 2) 2 d x

Solution

x^{2} - 4 x + C

Solution steps

\int (x - 2) \cdot 2 d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int 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

= 2 (\int x d x - \int 2 d x)

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

\int 2 d x = 2 x

= 2 (\frac{x ^{2}}{2} - 2 x)

Simplify

2 (\frac{x ^{2}}{2} - 2 x) : x^{2} - 4 x

= x^{2} - 4 x

Add a constant to the solution

= x^{2} - 4 x + C

Popular Examples

limit as x approaches infinity of x^6e^{-x^5}

x \to \infty lim (x^{6} e^{- x^{5}})

integral of sinh(1+4x)

\int sinh (1 + 4 x) d x

derivative of a(2xe^{2x}+e^{2x}*2x^2)

\frac{d}{d x} (a (2 x e^{2 x} + e^{2 x} \cdot 2 x^{2}))

derivative of-2/((1-x^3))

\frac{d}{d x} (- \frac{2}{( 1 - x ) ^{3}})

(\partial)/(\partial x)((x+z-y)^2)

\frac{\partial}{\partial x} ((x + z - y)^{2})

Frequently Asked Questions (FAQ)

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