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Popular >

integral of (-2xy)

Solution

\int (- 2 x y) d y

Solution

- x y^{2} + C

Solution steps

\int - 2 x y d y

Take the constant out:

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

= - 2 x \cdot \int y d y

Apply the Power Rule

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

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

Simplify

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

= - x y^{2}

Add a constant to the solution

= - x y^{2} + C

Popular Examples

integral of e^{2-2x}

\int e^{2 - 2 x} d x

integral of (2^{-x})/(ln(2))

\int \frac{2 ^{- x}}{ln ( 2 )} d x

integral of (sin(3ln(x)))/x

\int \frac{sin ( 3 ln ( x ) )}{x} d x

integral of x/(x^2-7)

\int \frac{x}{x ^{2} - 7} d x

integral of (3x^2)/((8-3x^3)^5)

\int \frac{3 x ^{2}}{( 8 - 3 x ^{3} ) ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral of (-2xy) ?
The integral of (-2xy) is -xy^2+C