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Popular >

integral of y^2x^3

Solution

integral

y^{2} x^{3}

Solution

\frac{x ^{3} y ^{3}}{3} + C

Solution steps

\int y^{2} x^{3} d y

Take the constant out:

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

= x^{3} \cdot \int y^{2} d y

Apply the Power Rule

: \frac{y ^{3}}{3}

= x^{3} \frac{y ^{3}}{3}

Multiply fractions:

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

= \frac{x ^{3} y ^{3}}{3}

Add a constant to the solution

= \frac{x ^{3} y ^{3}}{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of y^2x^3 ?
The integral of y^2x^3 is (x^3y^3)/3+C