en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2-7x

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (3sin(x))

\int (3 sin (x)) d x

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

f (x) = \frac{x + 7}{x}

sum from n=1 to infinity of 1/(3^{n-3)}

n = 1 \sum \infty \frac{1}{3 ^{n - 3}}

tangent of y=(2x+1)/(x+2),(1,1)tangent of

y = \frac{2 x + 1}{x + 2}, (1, 1)

(\partial)/(\partial y)(cos(2xy))

\frac{\partial}{\partial y} (cos (2 x y))

Frequently Asked Questions (FAQ)

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