en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (x+8)^4

Solution

\int (x + 8)^{4} d x

Solution

\frac{( x + 8 ) ^{5}}{5} + C

Solution steps

\int (x + 8)^{4} d x

Apply u-substitution

= \int u^{4} d u

Apply the Power Rule

= \frac{u ^{5}}{5}

Substitute back

u = x + 8

= \frac{( x + 8 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x + 8 ) ^{5}}{5} + C

Graph

Popular Examples

integral of e^{-(t^2)/2}

integral of cos(pi/6 x)

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

integral of (2x+7)/(x^2+7x+2)

integral of x/(sqrt(x-12))

Frequently Asked Questions (FAQ)

What is the integral of (x+8)^4 ?
The integral of (x+8)^4 is ((x+8)^5)/5+C