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+10)^3

Solution

\int (x + 10)^{3} d x

Solution

\frac{( x + 10 ) ^{4}}{4} + C

Solution steps

\int (x + 10)^{3} d x

Apply u-substitution

= \int u^{3} d u

Apply the Power Rule

= \frac{u ^{4}}{4}

Substitute back

u = x + 10

= \frac{( x + 10 ) ^{4}}{4}

Add a constant to the solution

= \frac{( x + 10 ) ^{4}}{4} + C

Graph

Popular Examples

integral of (3x+1)/(x^3+4x^2+5x)

integral of (1/(x-5))

integral of 2sec^6(10x)

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

integral of 4sin(5x+7)

Frequently Asked Questions (FAQ)

What is the integral of (x+10)^3 ?
The integral of (x+10)^3 is ((x+10)^4)/4+C