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Popular >

integral of x*y

Solution

\int x \cdot y

Solution

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

Solution steps

\int x y d x

Take the constant out:

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

= y \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Popular Examples

derivative of (x^2+1sqrt(x))

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

derivative of (3x^4-18x^5*cos(5x^2))

\frac{d}{d x} ((3 x^{4} - 18 x)^{5} \cdot cos (5 x^{2}))

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

\int (2 x^{2} + 3)^{2} d x

(yx-y)dy-(y+1)dx=0

(y x - y) d y - (y + 1) d x = 0

integral of e^{-x}*sin(2x)

\int e^{- x} \cdot sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral of x*y ?
The integral of x*y is (yx^2)/2+C