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2022 Mathematics Extension 2 Q4 | HSC Atlas

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2022HSCMultiple choice

Q4

1 mark

Question

Of the following expressions, which one need NOT contain a term involving a logarithm in its anti-derivative?

A. $\dfrac{x+2}{x^2+4x+5}$

B. $\dfrac{x+2}{x^2-4x-5}$

C. $\dfrac{x-1}{x^3-x^2+x-1}$

D. $\dfrac{x+1}{x^3-x^2+x-1}$

Try the question before revealing the answer.

Solution

Correct answer: C

Supplied marking guidance · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Calculus

Further IntegrationApply substitution, partial fractions, integration by parts and recurrence relationships to theoretical and practical problems.

Source

2022 HSC Mathematics Extension 2NESAQuestion paper page 3Guidance page 1View original source ↗

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