IP AMaths Notes (Upper Sec, Year 3-4): 17) Integration Essentials

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08 Nov 2025, 00:00 Z

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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.

Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.

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.

Fundamental rules

Reverse power: $\int x^n , dx = \tfrac{1}{n + 1} x^{n+1} + C$

IP AMaths Notes (Upper Sec, Year 3-4): 17) Integration Essentials

Fundamental rules

Worked example 1 - Definite integral

Worked example 2 - Substitution

Worked example 3 - Log form via substitution

Practice Quiz

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