Integral of 1/x, f'(x)/f(x) and partial fractions

What this note covers

1. Establishing ∫ 1/x dx = ln|x| + c
2. The pattern f′(x)/f(x)
3. Partial fractions with distinct linear factors
4. Repeated factors and improper fractions
5. Applications: areas and differential equations
6. Exam technique for logarithmic integrals

6 sections · 10 key terms & formulas · 6 common mistakes