en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (-7x)

Solution

\int (- 7 x) d x

Solution

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

Solution steps

\int - 7 x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - 7 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Graph

Popular Examples

integral from-2 to 3 of 5/(x^4)

\int_{- 2}^{3} \frac{5}{x ^{4}} d x

integral of \sqrt[3]{x}e^{\sqrt[3]{8x^4}}

\int 3 x e^{3 8 x^{4}} d x

sum from n=1 to infinity of 3

n = 1 \sum \infty 3

integral of (x-sin(x))

\int (x - sin (x)) d x

integral of (x^2+9x)cos(x)

\int (x^{2} + 9 x) cos (x) d x

Frequently Asked Questions (FAQ)

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