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Popular >

integral of xf(y)

Solution

\int x f (y) d x

Solution

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

Solution steps

\int x f y d x

Take the constant out:

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

= f y \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(-4cos(x)+sin(x)-3)

\int \frac{1}{- 4 cos ( x ) + sin ( x ) - 3} d x

integral of t^4sin(nt)

\int t^{4} sin (n t) d t

integral of 1/(sqrt(z+4)-2)

\int \frac{1}{z + 4 - 2} d z

integral of (4x)/(sqrt(6-x^2))

\int \frac{4 x}{6 - x ^{2}} d x

integral of (22x^3-44x^2+6)/(x^2-2x)

\int \frac{22 x ^{3} - 44 x ^{2} + 6}{x ^{2} - 2 x} d x

Frequently Asked Questions (FAQ)

What is the integral of xf(y) ?
The integral of xf(y) is (fyx^2)/2+C