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Advanced Integration Techniques: Substitution, Parts, and Partial Fractions

12th Grade · Math · Open Global Math

8 lessons

Goal

Master advanced integration methods including u-substitution, integration by parts, and partial fractions for definite and indefinite integrals.

8 lessons
0 of 8 done
  1. Standard Algebraic Integrals and the Reverse Chain RuleUp next
  2. Integration by Substitution for Indefinite IntegralsNot started yet
  3. Definite Integration by Substitution with Changing LimitsNot started yet
  4. Integration by Substitution with Trigonometric and Transcendental FormsNot started yet
  5. Integration by Parts for Products of FunctionsNot started yet
  6. Repeated Integration by Parts and Cyclic IntegralsYou are here
  7. Integration Using Partial Fractions: Distinct Linear DenominatorsNot started yet
  8. Integration Using Partial Fractions: Repeated Linear DenominatorsNot started yet
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Learning standards covered

GlobalOGM.13.CAL.6Open Global Math Standards 2026™ · 12th Grade

Apply advanced integration techniques including $u$-substitution, integration by parts, and partial fraction decomposition (linear denominators) to evaluate definite and indefinite integrals.