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HSC 2018-2019 MX2 Integration Marathon (1 Viewer)

dan964

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Integration marathon for MX2 2018
Post integration questions within scope of MX2

First question: (from pikachu975)
Integrate 1/[(sinx)sqrt(sin2x)]
 

pikachu975

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Re: HSC 2018 MX2 Integration Marathon

Wait the sinx is on the denominator. It's basically the BOS trial question
 

Kingom

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Re: HSC 2018 MX2 Integration Marathon

Wait the sinx is on the denominator. It's basically the BOS trial question
Yup. FYI the mistranscribed integral is equivalent to 1/root(2) integral of root(tanx) which has been calculated to exhaustion.
 

stupid_girl

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Re: HSC 2018 MX2 Integration Marathon

For , define .
(a)Show that f(x) is decreasing. Write down the maximum value of f(x).
(b)Find .
 

leehuan

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Re: HSC 2018 MX2 Integration Marathon

 

leehuan

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Re: HSC 2018 MX2 Integration Marathon



Also spoiler for the one above:
Do the same substitution as the one above it
 

stupid_girl

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Re: HSC 2018 MX2 Integration Marathon

This one is fairly straight-forward.
 

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