SVC MATH 3U BLOGAROONY

This blog dates back to 2015-16 while I was teaching senior high school Extension 1 Mathematics (formerly 3U Maths) in Sydney, Australia. It contains a wide range of explanations, notes, and resources covering senior secondary-level mathematics topics. The easiest ways to navigate are by using the search bar or browsing through the labels/tags. If you find my content helpful and would like to support my work, a coffee donation is greatly appreciated — thank you!

Showing posts with label Grove HSC 3U Challenge 5. Show all posts

Tuesday, 10 May 2016

Grove HSC 3U - Challenge 5, Q23

hey sir also its in challenge 5

$u=\cos x$
$du=-\sin x dx$

Recall $\sin^2x=1-\cos^2x$

So, $I=-\int \sin^2x\, \sin x \,dx$
$I=-\int (1-\cos^2x)\, \sin x \,dx$
$I=-\int (1-u^2)\, du$
$I=-u+u^3/3+c$