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Popular >

integral of 1/v

Solution

\int \frac{1}{v} d v

Solution

ln ∣ v ∣ + C

Solution steps

\int \frac{1}{v} d v

Use the common integral:

\int \frac{1}{v} d v = ln (∣ v ∣)

= ln ∣ v ∣

Add a constant to the solution

= ln ∣ v ∣ + C

Popular Examples

laplacetransform 5*e^{-3x}*sin(5x)*x laplace transform

5 \cdot e^{- 3 x} \cdot sin (5 x) \cdot x

limit as x approaches 3 of 5-x

x \to 3 lim (5 - x)

tangent of 1/16 tan^2(x)+cos(x)tangent of

\frac{1}{16} tan^{2} (x) + cos (x)

limit as x approaches 1+of 3x

x \to 1 + lim (3 x)

integral of (x^2+10x-1)/(x^3-x)

\int \frac{x ^{2} + 10 x - 1}{x ^{3} - x} d x

Frequently Asked Questions (FAQ)

What is the integral of 1/v ?
The integral of 1/v is ln|v|+C