en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (6xy+4x)

Solution

\int (6 x y + 4 x) d y

Solution

4 x y + 3 x y^{2} + C

Solution steps

\int 6 x y + 4 x d y

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 x d y + \int 6 x y d y

\int 4 x d y = 4 x y

\int 6 x y d y = 3 x y^{2}

= 4 x y + 3 x y^{2}

Add a constant to the solution

= 4 x y + 3 x y^{2} + C

Popular Examples

slope of (-5,-8),(9,-8)slope

(- 5, - 8), (9, - 8)

limit as x approaches-9 of 5x-4

x \to - 9 lim (5 x - 4)

inverse oflaplace-(75)/(s^2+6s+25)inverse laplace

- \frac{75}{s ^{2} + 6 s + 25}

(dy)/(dx)=((x^2+xy+y^2))/(x^2)

\frac{d y}{d x} = \frac{( x ^{2} + x y + y ^{2} )}{x ^{2}}

limit as h approaches 0 of (h^2)/(3|h|)

h \to 0 lim (\frac{h ^{2}}{3 ∣ h ∣})

Frequently Asked Questions (FAQ)

What is the integral of (6xy+4x) ?
The integral of (6xy+4x) is 4xy+3xy^2+C