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Popular Calculus >

integral of 3y^2

Solution

\int 3 y^{2} d y

Solution

y^{3} + C

Solution steps

\int 3 y^{2} d y

Take the constant out:

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

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

Apply the Power Rule

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

Simplify

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

= y^{3}

Add a constant to the solution

= y^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3y^2 ?
The integral of 3y^2 is y^3+C