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Popular >

integral of yx^2

Solution

\int y x^{2} d y

Solution

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

Solution steps

\int y x^{2} d y

Take the constant out:

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

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

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

(\partial)/(\partial x)(3x+2y)

\frac{\partial}{\partial x} (3 x + 2 y)

integral of (x^2+x-5)/(2x^3+3x^2-2x)

\int \frac{x ^{2} + x - 5}{2 x ^{3} + 3 x ^{2} - 2 x} d x

integral of cos(ln(2x))

\int cos (ln (2 x)) d x

integral of x/(x^2-2x+5)

\int \frac{x}{x ^{2} - 2 x + 5} d x

derivative of arccot(x/4)

\frac{d}{d x} (arccot (\frac{x}{4}))

Frequently Asked Questions (FAQ)

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