en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-6xy

Solution

\int - 6 x y d y

Solution

- 3 x y^{2} + C

Solution steps

\int - 6 x y d y

Take the constant out:

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

= - 6 x \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= - 6 x \frac{y ^{2}}{2}

Simplify

- 6 x \frac{y ^{2}}{2} : - 3 x y^{2}

= - 3 x y^{2}

Add a constant to the solution

= - 3 x y^{2} + C

Popular Examples

integral of 1/((x+5)^3)

\int \frac{1}{( x + 5 ) ^{3}} d x

integral of (csc^2(t))/(cot(t))

\int \frac{csc ^{2} ( t )}{cot ( t )} d t

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

\int \frac{1}{x ( 2 x + 1 ) ^{2}} d x

integral of (x+1)/(4x^2-4x+1)

\int \frac{x + 1}{4 x ^{2} - 4 x + 1} d x

integral of 1/(sqrt(x))+5

\int \frac{1}{x} + 5 d x

Frequently Asked Questions (FAQ)

What is the integral of-6xy ?
The integral of-6xy is -3xy^2+C