en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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{x ^{2}}{2}

= - \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

Popular Examples

tangent of y=(x^3-25x)^{14}tangent of

y = (x^{3} - 25 x)^{14}

derivative of f(x)=(8-x)^6 derivative of

f (x) = (8 - x)^{6}

limit as x approaches 0+of (-1)/x

x \to 0 + lim (\frac{- 1}{x})

inverse oflaplace (16s+5)/(s^2+9)inverse laplace

\frac{16 s + 5}{s ^{2} + 9}

derivative of (f(x))^2 derivative of

(f (x))^{2}

Frequently Asked Questions (FAQ)

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