Integration Using Multiple Techniques

Integration using multiple techniques completes the Further integration topic in NSW Year 12 Mathematics Extension 2 (NESA outcome ME2-12-04). This subtopic solves problems that require combining integration techniques — such as substitution, partial fractions, integration by parts and trigonometric identities — within a single problem.

Students and teachers will cover how to recognise which methods to apply and in what order, across both theoretical problems like \(\displaystyle\int \sec^3 x\tan^3 x\,dx\) and practical applications — the synthesis of skills tested at the top of the HSC Extension 2 course.