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Popular >

integral of-3v^2

Solution

\int - 3 v^{2} d v

Solution

- v^{3} + C

Solution steps

\int - 3 v^{2} d v

Take the constant out:

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

= - 3 \cdot \int v^{2} d v

Apply the Power Rule

: \frac{v ^{3}}{3}

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

Simplify

- 3 \cdot \frac{v ^{3}}{3} : - v^{3}

= - v^{3}

Add a constant to the solution

= - v^{3} + C

Graph

Popular Examples

integral from 0 to 7 of x\sqrt[3]{x+1}

\int_{0}^{7} x 3 x + 1 d x

f (x) = x^{3 x}

(dy)/(dx)=(y^2-1)/(x^2-1),y(7)=7

\frac{d y}{d x} = \frac{y ^{2} - 1}{x ^{2} - 1}, y (7) = 7

integral of x^5sin(x^6+2)

\int x^{5} sin (x^{6} + 2) d x

limit as x approaches pi of sqrt(cot(x))

x \to π lim (cot (x))

Frequently Asked Questions (FAQ)

What is the integral of-3v^2 ?
The integral of-3v^2 is -v^3+C