Inverse trig integrals and integration by substitution

What this note covers

1. The three standard inverse trigonometric integral forms
2. Completing the square to reach standard forms
3. Trigonometric substitution for radical integrands
4. Algebraic (linear and non-linear) substitution
5. Definite integrals with inverse trigonometric results
6. Integrals requiring partial restructuring of the numerator
7. Checking results and selecting the correct inverse-trig function

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