A Level · Mathematics
40+ A Level H2 Math Integration Practice Questions for 2026 (based on Singapore MOE Syllabus)
A Level H2 integration covers standard integrals, substitution, parts, partial fractions, and definite integrals for area. This page has 40+ exam-style integration questions with full worked solutions for Singapore JC students.
40 free sample questions below — answers and step-by-step solutions included.
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These 40 questions are a sample. On Tutorly.sg/app you can practise unlimited A Level Mathematics questions, get instant explanations after you try, and use past-year papers — no sign-up needed to start.
- ✓ Unlimited practice questions (not just 10)
- ✓ Step-by-step working when you are stuck
- ✓ Singapore syllabus: A Level
Opens tutorly.sg/app — same subject ready for you.
- Question 1easy
- Question 2easy
- Question 3medium
- Question 4hard
- Question 5hard
- Question 6easy
- Question 7easy
- Question 8medium
- Question 9hard
- Question 10hard
- Question 11easy
- Question 12easy
- Question 13medium
- Question 14hard
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- Question 16easy
- Question 17medium
- Question 18hard
- Question 19medium
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- Question 21easy
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- Question 23medium
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- Question 26easy
- Question 27easy
- Question 28medium
- Question 29hard
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- Question 31easy
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- Question 33medium
- Question 34hard
- Question 35hard
- Question 36easy
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- Question 38medium
- Question 39hard
- Question 40hard
Frequently asked questions
- What integration methods are tested in A Level H2 Math?
- H2 Math tests integration by substitution, integration by parts, partial fractions, trigonometric identities, and definite integrals for areas and volumes. Know which technique fits each integrand type.
- How do I choose between substitution and integration by parts?
- Use substitution when you spot a function and its derivative (e.g. ∫ 2x cos(x²) dx). Use integration by parts for products like ∫ x eˣ dx — choose u using LIATE (Log, Inverse trig, Algebraic, Trig, Exponential).
- Do I need + C for definite integrals?
- No. The constant of integration cancels when you evaluate a definite integral using the upper limit minus the lower limit. For indefinite integrals, always include + C.
- Are these A Level integration questions exam-style?
- Yes. Questions follow Singapore A Level H2 Mathematics exam formats with full step-by-step working suitable for revision and prelim practice.
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Free on Tutorly.sg
Want more Integration questions — with step-by-step help?
These 40 questions are a sample. On Tutorly.sg/app you can practise unlimited A Level Mathematics questions, get instant explanations after you try, and use past-year papers — no sign-up needed to start.
- ✓ Unlimited practice questions (not just 10)
- ✓ Step-by-step working when you are stuck
- ✓ Singapore syllabus: A Level
Opens tutorly.sg/app — same subject ready for you.
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Notes, worked examples, common mistakes, and exam tips for Integration.
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