en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 3/5 x

Solution

\int \frac{3}{5} x d x

Solution

\frac{3 x ^{2}}{10} + C

Solution steps

\int \frac{3}{5} x d x

Take the constant out:

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

= \frac{3}{5} \cdot \int x d x

Apply the Power Rule

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

Simplify

\frac{3}{5} \cdot \frac{x ^{2}}{2} : \frac{3 x ^{2}}{10}

= \frac{3 x ^{2}}{10}

Add a constant to the solution

= \frac{3 x ^{2}}{10} + C

Graph

Popular Examples

integral of sqrt((1+2x)/(1-2x))

integral of (cos(4x))/8

integral of (x^4)/((x^2-1)(x-2))

integral of (sinh(e^{-x/2}))/(e^{x/2)}

integral of rln((2r)/g)

Frequently Asked Questions (FAQ)

What is the integral of 3/5 x ?
The integral of 3/5 x is (3x^2)/(10)+C