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

integral

- 7 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 of (x^3)/((x^2-4))integral

\frac{x ^{3}}{( x ^{2} - 4 )}

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

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

integral of x/((x^2-x+10))integral

\frac{x}{( x ^{2} - x + 10 )}

integral of 1/(ln(1+3x))integral

\frac{1}{ln ( 1 + 3 x )}

integral of ((1+x^2))/((x^3))integral

\frac{( 1 + x ^{2} )}{( x ^{3} )}

Frequently Asked Questions (FAQ)

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