Exercise
$\int\frac{\left(3+u\right)}{u}du$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((3+u)/u)du. Expand the fraction \frac{3+u}{u} into 2 simpler fractions with common denominator u. Simplify the resulting fractions. Expand the integral \int\left(\frac{3}{u}+1\right)du into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{3}{u}du results in: 3\ln\left(u\right).
Find the integral int((3+u)/u)du
Final answer to the exercise
$3\ln\left|u\right|+u+C_0$