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Popular >

integral of xy)

Solution

\int d (x y)

Solution

\frac{d y x ^{2}}{2} + C

Solution steps

\int d x y d x

Take the constant out:

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

= d y \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

= \frac{d y x ^{2}}{2} + C

Popular Examples

(\partial)/(\partial y)(y^3+2ye^x)

\frac{\partial}{\partial y} (y^{3} + 2 y e^{x})

(\partial)/(\partial x)(2x^3y+cos(x^3))

\frac{\partial}{\partial x} (2 x^{3} y + cos (x^{3}))

(\partial)/(\partial y)((100)/(5x^2+y^2))

\frac{\partial}{\partial y} (\frac{100}{5 x ^{2} + y ^{2}})

inverse oflaplace s/(s^2+4s)inverse laplace

\frac{s}{s ^{2} + 4 s}

integral of (x^3+4)/(x^2)

\int \frac{x ^{3} + 4}{x ^{2}} d x

Frequently Asked Questions (FAQ)

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