en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x-1)^4

Solution

integral

(x - 1)^{4}

Solution

\frac{( x - 1 ) ^{5}}{5} + C

Solution steps

\int (x - 1)^{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 - 1

= \frac{( x - 1 ) ^{5}}{5}

Add a constant to the solution

= \frac{( x - 1 ) ^{5}}{5} + C

Popular Examples

integral of v/((v-1)^2)integral

\frac{v}{( v - 1 ) ^{2}}

integral of (1+sin^2(x))^{1/2}integral

(1 + sin^{2} (x))^{\frac{1}{2}}

integral of (4+16e^8x)^{1/2}integral

(4 + 16 e^{8} x)^{\frac{1}{2}}

integral of x^3(1+x^4)^3 integral

x^{3} (1 + x^{4})^{3}

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

\frac{( 1 - x )}{x ^{2}}

Frequently Asked Questions (FAQ)

What is the integral of (x-1)^4 ?
The integral of (x-1)^4 is ((x-1)^5)/5+C