en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 3x+3/5

Solution

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

Solution

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

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int 3 x d x = \frac{3 x ^{2}}{2}

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of ln^2(x^{20})

integral of csc(1-5x)

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

integral of 1/(cos(x)sqrt(sin(x)))

integral of 1/(16x^2+1)

Frequently Asked Questions (FAQ)

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