Integration by parts and partial fraction decomposition

What this note covers

1. The integration by parts formula: derivation and structure
2. Integration by parts with polynomials and exponentials
3. Integration by parts with logarithmic and trigonometric functions
4. Partial fraction decomposition: theory and setup
5. Integrating partial fractions: worked examples
6. Improper rational functions: long division first
7. Definite integrals and combined strategies in context

7 sections · 12 key terms & formulas · 6 common mistakes