Reduction Formulae

As we move into the integration topic, one application of integration by parts is to reduction (or recurrence) formulae.  The two presentations are from past HSC papers.

It should also be noted that while most reduction formulae are completed using integration by parts, there are some that are achieved through use of the Pythagorean Identities...I'll post some more on this later!

2001 Trial HSC - International Grammar

Below is question 4 from the 2001 International Grammar Trial HSC. It has some good questions on polynomials.

A nice question from the latter stages of the Extension 2 paper.It shows how seamlessly complex numbers and polynomials go together!

Polynomials Outline