IP AMaths Notes (Upper Sec, Year 3-4): 17) Integration Essentials
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Reverse power rule, substitution, and definite integral basics for IP AMaths.
Last updated 30 Nov 2025
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- Start Here
- 1 Fundamental rules
- 2 Worked example - Definite integral
- 3 Worked example - Substitution
Q: What does IP AMaths Notes (Upper Sec, Year 3-4): 17) Integration Essentials cover?
A: Reverse power rule, substitution, and definite integral basics for IP AMaths.
Integration is the inverse of differentiation. Start with antiderivatives and practice evaluating definite integrals.
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These essentials are drawn from the SEAB GCE O-Level Additional Mathematics (4049) integration syllabus: reverse power rule, logarithmic form, substitution, and definite integrals with bounds in radians/real numbers.
Status: SEAB O-Level Additional Mathematics 4049 syllabus (exams from 2025) checked 2025-11-30 - scope unchanged; remains the reference for this note.
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| Read time | What to take away |
| 1 second | Integration reverses differentiation and accumulates area or displacement. |
| 10 seconds | Pick the simplest antiderivative rule first, keep the constant for indefinite integrals, and substitute both bounds for definite integrals. |
| 100 seconds | Example: integrate velocity to get displacement, then use the initial condition to find the constant before answering the motion question. |
1 Fundamental rules
- Reverse power:
