en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x+7)^3

Solution

\int (x + 7)^{3} d x

Solution

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

Solution steps

\int (x + 7)^{3} d x

Apply u-substitution

: \int u^{3} d u

= \int u^{3} d u

Apply the Power Rule

: \frac{u ^{4}}{4}

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

Substitute back

u = x + 7

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 4x^3sin(2x)

\int 4 x^{3} sin (2 x) d x

integral of (1+1/x)^{-3}*1/(x^2)

\int (1 + \frac{1}{x})^{- 3} \cdot \frac{1}{x ^{2}} d x

integral of ((x^3+x))/((x-1))

\int \frac{( x ^{3} + x )}{( x - 1 )} d x

integral of x^3)

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

integral of cos^2(x)sin^1(x)

\int cos^{2} (x) sin^{1} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of (x+7)^3 ?
The integral of (x+7)^3 is ((x+7)^4)/4+C