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+4)^6

Solution

\int (x + 4)^{6} d x

Solution

\frac{( x + 4 ) ^{7}}{7} + C

Solution steps

\int (x + 4)^{6} d x

Apply u-substitution

= \int u^{6} d u

Apply the Power Rule

= \frac{u ^{7}}{7}

Substitute back

u = x + 4

= \frac{( x + 4 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x + 4 ) ^{7}}{7} + C

Graph

Popular Examples

integral of (-4)/((x^2+4)^2)

integral of (3x^2)/(36x^2+1)

integral of-2sec(x)tan(x)

integral of (1+sin(x))ln(x)

integral of sec^2(4x-3)

Frequently Asked Questions (FAQ)

What is the integral of (x+4)^6 ?
The integral of (x+4)^6 is ((x+4)^7)/7+C