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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

Graph

Popular Examples

integral of 2e^{-x^2}-1

\int 2 e^{- x^{2}} - 1 d x

(\partial)/(\partial z)(x^{y/z})

\frac{\partial}{\partial z} (x^{\frac{y}{z}})

derivative of f(x)=2x^3*ln(7x)derivative of

f (x) = 2 x^{3} \cdot ln (7 x)

derivative of (4x^2+3/(2x-1))

\frac{d}{d x} (\frac{4 x ^{2} + 3}{2 x - 1})

derivative of f(x)=x^3+y^3=16 derivative of

f (x) = x^{3} + y^{3} = 16

Frequently Asked Questions (FAQ)

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