Applications of Differentiation: Stationary Points and Optimisation
An HSC/VCE-style study guide to using the first and second derivatives to find and classify stationary points and points of inflection,…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
Find indefinite integrals of polynomials and evaluate simple definite integrals. Expected-level practice for this year group. This Year 12 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.
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Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Year 12 Integration (Polynomials) Worksheet — Level 2
Year 12 students (typically ages 17–18) working on calculus. It is pitched at level 2 · standard; a harder version is linked above.
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
About 15 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
Try Year 12 Integration (Polynomials) Worksheet — Level 3.
Year 12 · Mathematics · Calculus
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Use the rule ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C.
Preview — the PDF contains the full resource and answer sheet.
An HSC/VCE-style study guide to using the first and second derivatives to find and classify stationary points and points of inflection,…
An HSC/VCE-style study guide to definite integrals and area: the standard integrals, the fundamental theorem of calculus, areas below the…
Introduces integration as the reverse of differentiation, sets out the power rule for integrating, explains the constant of integration,…
Ten exam-style calculus questions covering differentiation (product, quotient and chain rules with exponentials, logarithms and…
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This Year 12 worksheet has…
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This Year 12 worksheet has…
Find indefinite integrals of polynomials and evaluate simple definite integrals. A challenge set for students ready to stretch further.…
Worksheet · Year 11 · Calculus · Level 1 · Easier
Worksheet · Year 11 · Calculus · Level 2 · Standard
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