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Popular >

integral of x(y)

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

derivative of x^4ln(x-1/3 x^3)

\frac{d}{d x} (x^{4} ln (x) - \frac{1}{3} x^{3})

area x^2-x,x area

x^{2} - x, x

derivative of G(t)=sqrt(5t)+(sqrt(7))/t derivative of

G (t) = 5 t + \frac{7}{t}

derivative of f(x)=(6x+8x^2)/((3+8x)^2)derivative of

f (x) = \frac{6 x + 8 x ^{2}}{( 3 + 8 x ) ^{2}}

integral from-1 to 1 of pi(x^2+1)^2

\int_{- 1}^{1} π (x^{2} + 1)^{2} d x

Frequently Asked Questions (FAQ)

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