en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 7x-x^2

Solution

\int 7 x - x^{2} d x

Solution

\frac{7 x ^{2}}{2} - \frac{x ^{3}}{3} + C

Solution steps

\int 7 x - x^{2} 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 7 x d x - \int x^{2} d x

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

\int x^{2} d x = \frac{x ^{3}}{3}

= \frac{7 x ^{2}}{2} - \frac{x ^{3}}{3}

Add a constant to the solution

= \frac{7 x ^{2}}{2} - \frac{x ^{3}}{3} + C

Graph

Popular Examples

integral of-(200x)/((14+1/2 x^2)^{3/2)}

integral of (x^4+1)/(sqrt(x^5+5x))

integral of 5x(1-x)

integral of (3+x)/x

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

Frequently Asked Questions (FAQ)

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