NSW Syllabus Reference: MEX-C1: Further Integration. This will require student to
- find and evaluate indefinite and definite integrals using the method of integration by substitution, where the substitution may or may not be given
- integrate rational functions involving a quadratic denominator by completing the square or otherwise
- decompose rational functions whose denominators have simple linear or quadratic factors, or a combination of both, into partial fractions
- use partial fractions to integrate functions
- evaluate integrals using the method of integration by parts (ACMSM123)
- derive and use recurrence relationships
- apply these techniques of integration to practical and theoretical situations
Ref: https://educationstandards.nsw.edu.au/
