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Popular >

integral of (y^3)/3

Solution

\int \frac{y ^{3}}{3} d y

Solution

\frac{y ^{4}}{12} + C

Solution steps

\int \frac{y ^{3}}{3} d y

Take the constant out:

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

= \frac{1}{3} \cdot \int y^{3} d y

Apply the Power Rule

: \frac{y ^{4}}{4}

= \frac{1}{3} \cdot \frac{y ^{4}}{4}

Simplify

\frac{1}{3} \cdot \frac{y ^{4}}{4} : \frac{y ^{4}}{12}

= \frac{y ^{4}}{12}

Add a constant to the solution

= \frac{y ^{4}}{12} + C

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Frequently Asked Questions (FAQ)

What is the integral of (y^3)/3 ?
The integral of (y^3)/3 is (y^4)/(12)+C