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Popular Calculus >

integral of 2v

Solution

\int 2 v d v

Solution

v^{2} + C

Solution steps

\int 2 v d v

Take the constant out:

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

= 2 \cdot \int v d v

Apply the Power Rule

= 2 \cdot \frac{v ^{2}}{2}

Simplify

2 \cdot \frac{v ^{2}}{2} : v^{2}

= v^{2}

Add a constant to the solution

= v^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2v ?
The integral of 2v is v^2+C