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Popular Calculus >

integral of 6y

Solution

\int 6 y d y

Solution

3 y^{2} + C

Solution steps

\int 6 y d y

Take the constant out:

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

= 6 \cdot \int y d y

Apply the Power Rule

= 6 \cdot \frac{y ^{2}}{2}

Simplify

6 \cdot \frac{y ^{2}}{2} : 3 y^{2}

= 3 y^{2}

Add a constant to the solution

= 3 y^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 6y ?
The integral of 6y is 3y^2+C