en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x-4)^3

Solution

\int (x - 4)^{3} d x

Solution

\frac{( x - 4 ) ^{4}}{4} + C

Solution steps

\int (x - 4)^{3} d x

Apply u-substitution

: \int u^{3} d u

= \int u^{3} d u

Apply the Power Rule

: \frac{u ^{4}}{4}

= \frac{u ^{4}}{4}

Substitute back

u = x - 4

= \frac{( x - 4 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x - 4 ) ^{4}}{4} + C

Popular Examples

derivative of (tan(x)/(e^x))

\frac{d}{d x} (\frac{tan ( x )}{e ^{x}})

limit as x approaches-1 of (x+4)/(2x+1)

x \to - 1 lim (\frac{x + 4}{2 x + 1})

limit as x approaches 0 of (|x|-x)/x

x \to 0 lim (\frac{∣ x ∣ - x}{x})

derivative of 1/(tan(x))

\frac{d}{d x} (\frac{1}{tan ( x )})

integral of (cos(x))/(sqrt(4-sin^2(x)))

\int \frac{cos ( x )}{4 - sin ^{2} ( x )} d x

Frequently Asked Questions (FAQ)

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