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