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Popular Calculus >

integral of 6z

Solution

\int 6 z d z

Solution

3 z^{2} + C

Solution steps

\int 6 z d z

Take the constant out:

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

= 6 \cdot \int z d z

Apply the Power Rule

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

Simplify

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

= 3 z^{2}

Add a constant to the solution

= 3 z^{2} + C

Graph

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Frequently Asked Questions (FAQ)

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