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Popular >

integral of (xy)

Solution

\int (x y) d x

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

y^{''}+81y=0,y(0)=3,y^'(0)=5

y^{^{''}} + 81 y = 0, y (0) = 3, y^{^{'}} (0) = 5

area x^{1/2},x^2 area

x^{\frac{1}{2}}, x^{2}

derivative of y= 9/x+2sin(x)derivative of

y = \frac{9}{x} + 2 sin (x)

derivative of p(x)=sqrt(x)-\sqrt[4]{x}derivative of

derivative of (2-x^2cos(x)+2xsin(x))

\frac{d}{d x} ((2 - x^{2}) cos (x) + 2 x sin (x))

Frequently Asked Questions (FAQ)

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