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Extension 2 · Year 12 · Module 15

Further Integration

Inverse trig integrals, integration by parts (including repeated and cyclic), partial fractions (linear, repeated and quadratic factors), trigonometric substitutions, the $t$-substitution, reduction formulae and recurrence relations, plus mixed-technique problems.

16lessons
MEX-C1NESA outcome
8–10hrs study
Start Lesson 1 →
1
Substitution, Review & Extensions
2
Standard Integrals, Inverse Trig
3
Integration by Parts I
4
Integration by Parts II, Repeated
5
Partial Fractions, Distinct Linear
6
Partial Fractions, Repeated & Quadratic
7
Trig Substitutions I
8
Trig Substitutions II
9
The $t$-Substitution
10
Reduction Formulae I
11
Reduction Formulae II
12
Recurrence Relations
13
Integration with Logarithms
14
Mixed Integration Problems I
15
Mixed Integration Problems II
16
Module 15 Synthesis & Exam Technique