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Popular Calculus >

integral of 12y^2

Solution

\int 12 y^{2} d y

Solution

4 y^{3} + C

Solution steps

\int 12 y^{2} d y

Take the constant out:

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

= 12 \cdot \int y^{2} d y

Apply the Power Rule

= 12 \cdot \frac{y ^{3}}{3}

Simplify

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

= 4 y^{3}

Add a constant to the solution

= 4 y^{3} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 12y^2 ?
The integral of 12y^2 is 4y^3+C