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Popular Calculus >

integral of 12gx

Solution

\int 12 gx d x

Solution

6 g x^{2} + C

Solution steps

\int 12 gx d x

Take the constant out:

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

= 12 g \cdot \int x d x

Apply the Power Rule

= 12 g \frac{x ^{2}}{2}

Simplify

12 g \frac{x ^{2}}{2} : 6 g x^{2}

= 6 g x^{2}

Add a constant to the solution

= 6 g x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 12gx ?
The integral of 12gx is 6gx^2+C