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)^5

Solution

\int (x + 4)^{5} d x

Solution

\frac{( x + 4 ) ^{6}}{6} + C

Solution steps

\int (x + 4)^{5} d x

Apply u-substitution

: \int u^{5} d u

= \int u^{5} d u

Apply the Power Rule

: \frac{u ^{6}}{6}

= \frac{u ^{6}}{6}

Substitute back

u = x + 4

= \frac{( x + 4 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x + 4 ) ^{6}}{6} + C

Popular Examples

y^'=10^{-21}y^3

y^{^{'}} = 1 0^{- 21} y^{3}

integral of-3te^t

\int - 3 t e^{t} d t

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

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

(\partial)/(\partial x)(x^{y+z})

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

integral of x^2ln(2x-3)

\int x^{2} ln (2 x - 3) d x

Frequently Asked Questions (FAQ)

What is the integral of (x+4)^5 ?
The integral of (x+4)^5 is ((x+4)^6)/6+C