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Popular Calculus >

integral of xy^4

Solution

\int x y^{4} d x

Solution

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

Solution steps

\int x y^{4} d x

Take the constant out:

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

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

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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