en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3xy

Solution

\int 3 x y

Solution

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

Solution steps

\int 3 x y d x

Take the constant out:

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

= 3 y \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

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

\int \frac{1}{( 2 - x ) 1 - x} d x

integral of (t+7)e^{2t+3}

\int (t + 7) e^{2 t + 3} d t

derivative of sqrt(5)x+sqrt(6x)

\frac{d}{d x} (5 x + 6 x)

area y^2-7x=1,x-y=1 area

y^{2} - 7 x = 1, x - y = 1

integral of 6e^5

\int 6 e^{5} d x

Frequently Asked Questions (FAQ)

What is the integral of 3xy ?
The integral of 3xy is (3yx^2)/2+C