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Hyperbolic Substitutions in Integration

11th Grade · Math · UK A-Level

4 lessons

Goal

Use hyperbolic substitutions to evaluate integrals involving expressions of the form (x² ± a²) and related functions.

4 lessons
0 of 4 done
  1. Integrating (x² + a²)⁻¹ᐟ²Up next
  2. Integrating (x² − a²)⁻¹ᐟ²Not started yet
  3. Choosing Substitutions for Associated IntegralsYou are here
  4. Mixed Problems: Hyperbolic IntegrationNot started yet
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Learning standards covered

gbFM-H5General Certificate of Education Advanced Level (UK A-Level) · Further-maths · 11th Grade

1 1 Integrate functions of the form ( x2 +a2)− 2 and ( x2 −a2)− 2 and be able to choose substitutions to integrate associated functions