en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-(6x)/5

Solution

\int - \frac{6 x}{5} d x

Solution

- \frac{3 x ^{2}}{5} + C

Solution steps

\int - \frac{6 x}{5} d x

Take the constant out:

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

= - \frac{6}{5} \cdot \int x d x

Apply the Power Rule

= - \frac{6}{5} \cdot \frac{x ^{2}}{2}

Simplify

- \frac{6}{5} \cdot \frac{x ^{2}}{2} : - \frac{3 x ^{2}}{5}

= - \frac{3 x ^{2}}{5}

Add a constant to the solution

= - \frac{3 x ^{2}}{5} + C

Graph

Popular Examples

derivative of (f(x))^2

laplacetransform 3sin(3t)

2x^2yy^'+2xy^2+1=0

derivative of 3ln(x+1)

derivative of sqrt(35x)ln(13x)

Frequently Asked Questions (FAQ)

What is the integral of-(6x)/5 ?
The integral of-(6x)/5 is -(3x^2)/5+C