Indefinite integrals of x^n, e^x, sin x, cos x and f(ax - b), linearity and initial conditions

What this note covers

1. Anti-differentiation reverses differentiation
2. The power rule and its exception
3. Exponential and trigonometric families
4. Linearity and algebra before integrating
5. Linear inner functions f(ax−b)
6. Initial conditions select one curve
7. Families, graphs and verification
8. Error analysis and final checks for Anti-differentiation

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