en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x+5)^4

Solution

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

Solution

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

Solution steps

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

Apply u-substitution

: \int u^{4} d u

= \int u^{4} d u

Apply the Power Rule

: \frac{u ^{5}}{5}

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

Substitute back

u = x + 5

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of ln(2sin(x))

\frac{d}{d x} (ln (2 sin (x)))

derivative of y=(3-e^x)^3 derivative of

y = (3 - e^{x})^{3}

(dy)/(dx)=(8x)/(4y)

\frac{d y}{d x} = \frac{8 x}{4 y}

derivative of f(x)= 3/(sqrt(x))derivative of

f (x) = \frac{3}{x}

derivative of (pi(9x^2+6x+1)/(36x))

\frac{d}{d x} (\frac{π ( 9 x ^{2} + 6 x + 1 )}{36 x})

Frequently Asked Questions (FAQ)

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