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Popular Calculus >

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

= - 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

Graph

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Frequently Asked Questions (FAQ)

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