Final answer to the problem
$\ln\left|v\right|+\frac{1}{v}+C_0$
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Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((v-1)/(v^2))dv. Expand the fraction \frac{v-1}{v^2} into 2 simpler fractions with common denominator v^2. Simplify the resulting fractions. Expand the integral \int\left(\frac{1}{v}+\frac{-1}{v^2}\right)dv into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{v}dv results in: \ln\left(v\right).
Final answer to the problem
$\ln\left|v\right|+\frac{1}{v}+C_0$
