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Popular Calculus >

integral of x^4y

Solution

\int x^{4} y d y

Solution

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

Solution steps

\int x^{4} y d y

Take the constant out:

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

= x^{4} \cdot \int y d y

Apply the Power Rule

= x^{4} \frac{y ^{2}}{2}

Multiply fractions:

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

= \frac{x ^{4} y ^{2}}{2}

Add a constant to the solution

= \frac{x ^{4} y ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^4y ?
The integral of x^4y is (x^4y^2)/2+C