Study Guide
Differentiation Basics: The Power Rule
Introduces the derivative as a gradient function and sets out the power rule for differentiating polynomials, including negative and…
- Difficulty
- Level 3 · Challenge
- Time
- 20 min
WorksheetYear 11Level 1 · Easier
Free Year 11 Integration (Polynomials) Worksheet — Level 1
Find indefinite integrals of polynomials and evaluate simple definite integrals. Builds confidence with the core skill before adding complexity. This Year 11 worksheet has 10 questions and comes with a full answer sheet showing the working for every question.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 11
- Subject
- Mathematics
- Topic
- Calculus
- Difficulty
- Level 1 · Easier
- Estimated time
- 15 minutes
- Curriculum
- Australian Curriculum
- Questions
- 10
- Answers
- Included, with working
- Format
- PDF (A4) + print
Students will practise
- integrating polynomials
- adding the constant of integration
- integrating term by term
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 11 Integration (Polynomials) Worksheet — Level 1
You've reached the end of this topic — next up: Exponentials & Logarithms
How to use this worksheet
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this worksheet for?
Year 11 students (typically ages 16–17) working on calculus. It is pitched at level 1 · easier; a harder version is linked above.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 15 minutes for 10 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Move on to Exponentials & Logarithms.
Preview
Year 11 · Mathematics · Calculus
Year 11 Integration (Polynomials) Worksheet — Level 1
Success Tutoring
Student name:
Date:
Score: /
Use the rule ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C.
1.Find ∫ (−10x4 + 6x2) dx
2.Find ∫ (16x3 − 6x) dx
3.Find ∫ (4x − 3) dx
4.Find ∫ (20x4 − 3x2) dx
5.Find ∫ (−5x4 − 12x3) dx
6.Find ∫ (5x4 − 12x3) dx
7.Find ∫ (4x3 − 2x) dx
8.Find ∫ (8x + 3) dx
9.Find ∫ (−12x3 − 2) dx
10.Find ∫ (−10x4 + 2x) dx
Preview — the PDF contains the full resource and answer sheet.
More Year 11 calculus resources
- Study Guide
Differentiation: Product, Quotient and Chain Rules
An HSC/VCE-style study guide to the three rules that let you differentiate products, quotients and composite functions. Each worked…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Worksheet
Year 11 Differentiation (Power Rule) Worksheet — Level 1
Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This Year 11…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
Year 11 Differentiation (Power Rule) Worksheet — Level 2
Differentiate polynomial functions using the power rule. Expected-level practice for this year group. This Year 11 worksheet has 10…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
Calculus in other year levels
- Year 12 Differentiation (Power Rule) Worksheet — Level 3
Worksheet · Year 12 · Calculus · Level 3 · Challenge
- Year 12 Differentiation (Power Rule) Worksheet — Level 3 (Set 2)
Worksheet · Year 12 · Calculus · Level 3 · Challenge
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.