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.
Ah, back in the day Coroneos' texts were simply the texts to use for studying HSC 3 and 4 unit mathematics. The quality of the questions was simply unmatched. I don't know if anything more recent has come along to match his texts and would suggest to any currently aspiring student of Extension 2 Mathematics to get their hands on his books.
ReplyDeleteHere are my solutions to the 100 Integrals
ReplyDeletehttps://drive.google.com/open?id=0B2PufFa0QQ0RSnJ6Y3labFpfcjQ
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ReplyDeletethe guy got q19 wrong, it's not sec^-1 but tan^-1 and you can't use trig sub for it... I made the same mistake but realized that it was wrong after
ReplyDelete