Saturday 15 March 2014

2011 HSC Integration Questions

The 2011 HSC has some nice integration questions;  They start out fairly basic in question 1, progressing to a good one in Question 7.
Both of these questions are included here for completeness, but don't worry too much about Question 7 - it contains a property of integrals we haven't studied yet.  That being said, it won't hurt to have a look at it!


Monday 10 March 2014

100 Integrals from Coroneos

One of the good 4 unit books around is the one by Jim Coroneos.  It was published years ago, and still contains some really good questions.  In particular, at the end of the integration chapter, there are 100 integrals.  If you can do these, then you are well on your way to a good understanding.
I've simply re-typeset them, and you can get them below.


Wednesday 5 March 2014

Partial Fractions

Partial fractions plays a major role in the theory of integration, and is examined in all HSC papers.  You should be able to identify the way to decompose your function, but there has been a trend over the years to give you the decomposition and ask you to find the missing numbers.  The second part usually involves the integration.

Here are two questions on partial fractions from past HSC papers.