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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

slope of (7,-7),(5,-3)slope

(7, - 7), (5, - 3)

slope ofintercept (-6,-5),(2,-10)slope intercept

(- 6, - 5), (2, - 10)

limit as h approaches 0 of ((cos(x+h)-cos(x)))/h

h \to 0 lim (\frac{( cos ( x + h ) - cos ( x ) )}{h})

sum from n=0 to infinity of 3x^{2n+1}

n = 0 \sum \infty 3 x^{2 n + 1}

limit as x approaches 0 of x/(x^2+1)

x \to 0 lim (\frac{x}{x ^{2} + 1})

Frequently Asked Questions (FAQ)

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