en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (2x-3y)

Solution

\int (2 x - 3 y) d x

Solution

x^{2} - 3 y x + C

Solution steps

\int 2 x - 3 y 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 2 x d x - \int 3 y d x

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

\int 3 y d x = 3 y x

= x^{2} - 3 y x

Add a constant to the solution

= x^{2} - 3 y x + C

Graph

Popular Examples

integral of (2x)^4

integral of (inx)/(x^3)

integral of x^4(x^5-7)^5

integral of sin(x)In(cos(x))

integral of (sqrt(x^2-6))/(x^3)

Frequently Asked Questions (FAQ)

What is the integral of (2x-3y) ?
The integral of (2x-3y) is x^2-3yx+C