en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 5x+4y

Solution

\int 5 x + 4 y d x

Solution

4 y x + \frac{5 x ^{2}}{2} + C

Solution steps

\int 5 x + 4 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 4 y d x + \int 5 x d x

\int 4 y d x = 4 y x

\int 5 x d x = \frac{5 x ^{2}}{2}

= 4 y x + \frac{5 x ^{2}}{2}

Add a constant to the solution

= 4 y x + \frac{5 x ^{2}}{2} + C

Graph

Popular Examples

derivative of (ln(x+4)^2)

limit as x approaches 0-of (x^2)/6-7/x

limit as x approaches infinity of 3*x^3

(dx)/(dt)=1.2x(1-x/(4200))

(\partial}{\partial x}(\frac{(2pi*l))/x)

Frequently Asked Questions (FAQ)

What is the integral of 5x+4y ?
The integral of 5x+4y is 4yx+(5x^2)/2+C