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Integration by Substitution ?? (1 Viewer)

accio.brain

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Will they always give you the substitution to use for integrating?
I thought they did, but the 2008 3U HSC (Q1e) expects you to make it up yourself...
 

Uncle

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They do in Mathematics Extension 1 but not in Mathematics Extension 2.
Or you can just integrate by inspection if you are capable of doing so.
 

Xcelz

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Will they always give you the substitution to use for integrating?
I thought they did, but the 2008 3U HSC (Q1e) expects you to make it up yourself...
they will 99% of the time give it. but if they don't i think it is relatively easy to choose what you should be substituting for.
 
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untouchablecuz

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from what i have encountered, they will usually ask trigonometric integrals without providing a suitable substitution

such as or
 

scardizzle

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just checked the 2008 HSC, the question doesnt require you to use substitution. Although using substitution helps you see it better. You need to use the reverse chain rule:

Intergral of f'(x).f(x)^n = f(x)^n+1/n+1 +c
 

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