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Popular >

integral of d^2(v)v

Solution

integral

d^{2} (v) v

Solution

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

Solution steps

\int d^{2} vv dd

Take the constant out:

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

= vv \cdot \int d^{2} dd

Simplify

vv : v^{2}

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

Apply the Power Rule

: \frac{d ^{3}}{3}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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