MATH 1150
Calculus II — Practice Question Bank
150+ Problems with Fully Worked Solutions
Independent Study Resource
Not affiliated with or endorsed by Yale University
Original Content — fully sellable
Edition 2026
Explore our developer-friendly HTML to PDF API Printed using PDFCrowd HTML to PDF
,Table of Contents
1. How to Use This Question Bank
2. Chapter 1: Riemann Sums and Definite Integrals — 10 problems
3. Chapter 2: Fundamental Theorem of Calculus — 10 problems
4. Chapter 3: Integration by Substitution — 12 problems
5. Chapter 4: Integration by Parts — 12 problems
6. Chapter 5: Trigonometric Integrals and Substitution — 10 problems
7. Chapter 6: Partial Fractions and Improper Integrals — 10 problems
8. Chapter 7: Applications of Integration — 12 problems
9. Chapter 8: Sequences and Infinite Series — 10 problems
10. Chapter 9: Convergence Tests — 12 problems
11. Chapter 10: Power Series and Taylor Series — 10 problems
12. Chapter 11: Parametric Equations — 10 problems
13. Chapter 12: Polar Coordinates — 10 problems
14. Chapter 13: Differential Equations — 8 problems
15. Final Mixed Practice Exam — 25 problems
16. Full Answer Key with Worked Solutions
17. Quick Formula Reference
Explore our developer-friendly HTML to PDF API Printed using PDFCrowd HTML to PDF
, How to Use This Question Bank
This question bank complements the MATH 1150 Complete Study Guide. Where the guide teaches the
concepts, this bank trains you to execute them under exam conditions.
Recommended workflow
1. Attempt each problem without looking at the solution. Set a timer: 3–5 minutes for
computational problems, 5–8 minutes for applied problems.
2. Check your method, not just your answer. Compare against the worked solution.
3. Re-do missed problems after 48 hours. Spaced repetition is the strongest retention tool.
4. Use the final mixed exam last. It integrates everything under one time limit.
Difficulty Legend
[C] Computational — apply a technique directly.
[A] Applied — set up an integral or model.
[X] Conceptual — explain or classify.
[★] Challenge — exam-level, multi-step.
Explore our developer-friendly HTML to PDF API Printed using PDFCrowd HTML to PDF
Calculus II — Practice Question Bank
150+ Problems with Fully Worked Solutions
Independent Study Resource
Not affiliated with or endorsed by Yale University
Original Content — fully sellable
Edition 2026
Explore our developer-friendly HTML to PDF API Printed using PDFCrowd HTML to PDF
,Table of Contents
1. How to Use This Question Bank
2. Chapter 1: Riemann Sums and Definite Integrals — 10 problems
3. Chapter 2: Fundamental Theorem of Calculus — 10 problems
4. Chapter 3: Integration by Substitution — 12 problems
5. Chapter 4: Integration by Parts — 12 problems
6. Chapter 5: Trigonometric Integrals and Substitution — 10 problems
7. Chapter 6: Partial Fractions and Improper Integrals — 10 problems
8. Chapter 7: Applications of Integration — 12 problems
9. Chapter 8: Sequences and Infinite Series — 10 problems
10. Chapter 9: Convergence Tests — 12 problems
11. Chapter 10: Power Series and Taylor Series — 10 problems
12. Chapter 11: Parametric Equations — 10 problems
13. Chapter 12: Polar Coordinates — 10 problems
14. Chapter 13: Differential Equations — 8 problems
15. Final Mixed Practice Exam — 25 problems
16. Full Answer Key with Worked Solutions
17. Quick Formula Reference
Explore our developer-friendly HTML to PDF API Printed using PDFCrowd HTML to PDF
, How to Use This Question Bank
This question bank complements the MATH 1150 Complete Study Guide. Where the guide teaches the
concepts, this bank trains you to execute them under exam conditions.
Recommended workflow
1. Attempt each problem without looking at the solution. Set a timer: 3–5 minutes for
computational problems, 5–8 minutes for applied problems.
2. Check your method, not just your answer. Compare against the worked solution.
3. Re-do missed problems after 48 hours. Spaced repetition is the strongest retention tool.
4. Use the final mixed exam last. It integrates everything under one time limit.
Difficulty Legend
[C] Computational — apply a technique directly.
[A] Applied — set up an integral or model.
[X] Conceptual — explain or classify.
[★] Challenge — exam-level, multi-step.
Explore our developer-friendly HTML to PDF API Printed using PDFCrowd HTML to PDF
