Variation 2 · answer guide
Antidifferentiation — Cube root style power
Question
Use to find .
This practice question was inspired by Question 11(c) in the 2021 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Step by step
- Set up the solution: choose a substitution or identity that simplifies the integrand, then reverse-differentiate to check.: .
- State the final answer clearly in the form the question requested.Answer: .
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Chain-rule check on each term.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
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