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^3-7x)

Solution

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

Solution

\frac{x ^{4}}{4} - \frac{7 x ^{2}}{2} + C

Solution steps

\int x^{3} - 7 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{3} d x - \int 7 x d x

\int x^{3} d x = \frac{x ^{4}}{4}

\int 7 x d x = \frac{7 x ^{2}}{2}

= \frac{x ^{4}}{4} - \frac{7 x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{4}}{4} - \frac{7 x ^{2}}{2} + C

Graph

Popular Examples

(\partial)/(\partial x)(ln(x^2u))

derivative of f(x)=(2x+3)^6(x-2)^4

integral of x+pi

derivative of f(x)=sqrt(7x+8)

derivative of e^{-0}

Frequently Asked Questions (FAQ)

What is the integral of (x^3-7x) ?
The integral of (x^3-7x) is (x^4)/4-(7x^2)/2+C