well im pretty sure this will not come up on the hsc since it's out of syllabus, the way you derive it is through hyperbolic trig substitutions but obv thats not in the syllabus. if on the very rare occassion that you're asked it on the hsc you can always quote the result and differentiate the log to show the integral is correct, but again u prob won't be asked thiswhen i want to use this integral formula in the ext 2 hsc, if it comes up, am i supposed to derive it or can i just memorise this and use it
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wait can't you derive it using trig sub?well im pretty sure this will not come up on the hsc since it's out of syllabus, the way you derive it is through hyperbolic trig substitutions but obv thats not in the syllabus. if on the very rare occassion that you're asked it on the hsc you can always quote the result and differentiate the log to show the integral is correct, but again u prob won't be asked this
ahh ok makes sense, thanks! i might get it in trails, since my school expects me to know this, so ill just confirm that with my teacherwell im pretty sure this will not come up on the hsc since it's out of syllabus, the way you derive it is through hyperbolic trig substitutions but obv thats not in the syllabus. if on the very rare occassion that you're asked it on the hsc you can always quote the result and differentiate the log to show the integral is correct, but again u prob won't be asked this
u can try but im not sure it would work, u get some difficult integrals that might be impossible/super hardwait can't you derive it using trig sub?
if it’s in internals you’re probably fine just quoting the result, but it’s good to double check obv yeaahh ok makes sense, thanks! i might get it in trails, since my school expects me to know this, so ill just confirm that with my teacher
actually u can do them but u need to know integral of sec, which is annoyingu can try but im not sure it would work, u get some difficult integrals that might be impossible/super hard
hyperbolic trig is the standard way to do it tho
yeah i saw them in a bunch of older paper so i was wondering lol thanksThey were standard integrals on the old syllabus, but that's going back a way - see page 16 of the 2001 paper accessible from https://educationstandards.nsw.edu....matics/mathematics-2001-hsc-exam-pack-archive, for example