Using a suitable substitution, find
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Show Worked Solution
♦ Mean mark 49%.
Calculus, EXT2 C1 2024 HSC 15d
Calculus, EXT2 C1 2022 SPEC1 9
Given that
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Calculus, EXT2 C1 2022 HSC 15c
Using the substitution
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Calculus, EXT2 C1 2022 HSC 11f
Using the substitution
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Calculus, EXT2 C1 2022 HSC 4 MC
Of the following expressions, which one need NOT contain a term involving a logarithm in its anti-derivative?
Calculus, EXT2 C2 2020 SPEC2 11 MC
With a suitable substitution
Calculus, EXT2 C1 2005 HSC 1a
Find
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Calculus, EXT2 C1 2017 HSC 11f
Using the substitution
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Calculus, EXT2 C1 2007 HSC 5c
- Write
in the form , where and are real numbers. (1 mark)
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- Using the values of
and found in part (i) and making the substitution , or otherwise, evaluate
(2 marks)
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Calculus, EXT2 C1 2012 HSC 10 MC
Without evaluating the integrals, which one of the following integrals is greater than zero?
Calculus, EXT2 C1 2009 HSC 1e
Evaluate
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Calculus, EXT2 C1 2010 HSC 1b
Evaluate
Calculus, EXT2 C1 2011 HSC 7b
Let
- Use the substitution
to show that
(2 marks)
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- Hence, find the value of
. (3 marks)
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