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Popular >

integral of xy^2

Solution

\int x y^{2} d x

Solution

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

Solution steps

\int x y^{2} d x

Take the constant out:

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

= y^{2} \cdot \int x d x

Apply the Power Rule

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

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

\frac{6 d u}{d t} = u^{2}

simplify (x^2+2x)/(4x)simplify

\frac{x ^{2} + 2 x}{4 x}

\frac{d y}{d x} = - y + 1

integral of (4x-3)/(sqrt(x))

\int \frac{4 x - 3}{x} d x

derivative of y=ln(5+2x+x^3)derivative of

y = ln (5 + 2 x + x^{3})

Frequently Asked Questions (FAQ)

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