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Popular >

integral of 1-2v-v^2

Solution

integral

1 - 2 v - v^{2}

Solution

v - v^{2} - \frac{v ^{3}}{3} + C

Solution steps

\int 1 - 2 v - v^{2} d v

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d v - \int 2 v d v - \int v^{2} d v

\int 1 d v = v

\int 2 v d v = v^{2}

\int v^{2} d v = \frac{v ^{3}}{3}

= v - v^{2} - \frac{v ^{3}}{3}

Add a constant to the solution

= v - v^{2} - \frac{v ^{3}}{3} + C

Popular Examples

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(\frac{ln ( x )}{x})^{2}

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Frequently Asked Questions (FAQ)

What is the integral of 1-2v-v^2 ?
The integral of 1-2v-v^2 is v-v^2-(v^3)/3+C