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Popular Calculus >

integral of (y^4)/4

Solution

\int \frac{y ^{4}}{4} d y

Solution

\frac{y ^{5}}{20} + C

Solution steps

\int \frac{y ^{4}}{4} d y

Take the constant out:

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

= \frac{1}{4} \cdot \int y^{4} d y

Apply the Power Rule

= \frac{1}{4} \cdot \frac{y ^{5}}{5}

Simplify

\frac{1}{4} \cdot \frac{y ^{5}}{5} : \frac{y ^{5}}{20}

= \frac{y ^{5}}{20}

Add a constant to the solution

= \frac{y ^{5}}{20} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (y^4)/4 ?
The integral of (y^4)/4 is (y^5)/(20)+C