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Popular >

integral of-2xy

Solution

\int - 2 x y d x

Solution

- y x^{2} + C

Solution steps

\int - 2 x y d x

Take the constant out:

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

= - 2 y \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= - y x^{2}

Add a constant to the solution

= - y x^{2} + C

Popular Examples

integral of y-2

\int y - 2 d y

sum from n=1 to infinity of 1/(n^{0.9)}

n = 1 \sum \infty \frac{1}{n ^{0.9}}

\int k x d x

derivative of x+y^3

\frac{d}{d x} (x + y^{3})

limit as x approaches 0 of (tan(7x))^x

x \to 0 lim ((tan (7 x))^{x})

Frequently Asked Questions (FAQ)

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