Study Guide
Differentiation Basics: The Power Rule
Introduces the derivative as a slope function and sets out the power rule for differentiating polynomials, including negative and…
- Difficulty
- Level 3 · Challenge
- Time
- 20 min
Extra practice for 11th Grade Integration (Polynomials) Worksheet — Level 3: the same skill with fresh questions.
Worksheet11th GradeLevel 3 · Challenge
Free 11th Grade Integration (Polynomials) Worksheet — Level 3 — Practice Set 4
Practice Set 4 for 11th Grade Integration (Polynomials) Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.
More practice: Set 1 · Practice Set 2 · Practice Set 3 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Grade
- 11th Grade
- Subject
- Math
- Topic
- Calculus
- Difficulty
- Level 3 · Challenge
- Estimated time
- 15 minutes
- Curriculum
- Texas grade levels (TEKS)
- Questions
- 10
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practice
- integrating polynomials
- adding the constant of integration
- evaluating definite integrals
Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: 11th Grade Integration (Polynomials) Worksheet — Level 3 — Practice Set 4
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?
11th Grade students (typically ages 16–17) working on calculus. It is pitched at level 3 · challenge; an easier 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?
Try Exponential Functions: Graphs, Equations and Models.
Preview
Success TutoringWorksheets11th Grade · Mathematics · Calculus11th Grade Integration (Polynomials) Worksheet — Level 3 — Practice Set 4
Name
Date
Score /
Use the rule ∫ xⁿ dx = xⁿ⁺¹ / (n+1) + C.
1.Find ∫ (−15x4 − 4x3 − 2) dx
2.Find ∫ (10x4 − 6x2 − 1) dx
3.Find ∫ (−4x3 + 12x2 + 2x) dx
4.Evaluate ∫ from 1 to 2 of (12x3 + 8x − 2) dx
5.Find ∫ (−9x2 + 2x − 1) dx
6.Find ∫ (10x4 − 8x3 + 2) dx
7.Evaluate ∫ from 1 to 2 of (4x3 + 9x2 + 8x) dx
8.Evaluate ∫ from 1 to 4 of (−9x2 − 6x − 3) dx
9.Find ∫ (−8x3 − 3x2 − 3) dx
10.Find ∫ (4x3 + 6x2 + 6x) dx
Preview — the PDF contains the full resource and answer sheet.
More 11th Grade calculus resources
- Study Guide
Differentiation: Product, Quotient and Chain Rules
A senior study guide to the three rules that let you differentiate products, quotients and composite functions. Each worked example names…
- Difficulty
- Level 3 · Challenge
- Time
- 30 min
- Worksheet
11th Grade Differentiation (Power Rule) Worksheet — Level 1
Differentiate polynomial functions using the power rule. Builds confidence with the core skill before adding complexity. This 11th Grade…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
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11th Grade Differentiation (Power Rule) Worksheet — Level 2
Differentiate polynomial functions using the power rule. Expected-level practice for this grade. This 11th Grade worksheet has 10…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
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11th Grade Differentiation (Power Rule) Worksheet — Level 3
Differentiate polynomial functions using the power rule. A challenge set for students ready to stretch further. This 11th Grade worksheet…
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
11th Grade Integration (Polynomials) Worksheet — Level 1
Find indefinite integrals of polynomials and evaluate simple definite integrals. Builds confidence with the core skill before adding…
- Difficulty
- Level 1 · Easier
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
11th Grade Integration (Polynomials) Worksheet — Level 2
Find indefinite integrals of polynomials and evaluate simple definite integrals. Expected-level practice for this grade. This 11th Grade…
- Difficulty
- Level 2 · Standard
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
- Worksheet
11th Grade Integration (Polynomials) Worksheet — Level 3
Find indefinite integrals of polynomials and evaluate simple definite integrals. A challenge set for students ready to stretch further.…
- Difficulty
- Level 3 · Challenge
- Time
- 15 min
- Questions
- 10 questions
- Answers
- Answers included
Calculus in other year levels
- Differentiating Exponential, Logarithmic and Trigonometric Functions
Worksheet · 12th Grade · Calculus · Level 3 · Challenge
- Motion in a Straight Line: Displacement, Velocity and Acceleration
Worksheet · 12th Grade · 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
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