Unit 27 — Applications of Integration

Topic 5: Calculus

Applications of Integration for IB Math AA SL and HL: notes on Definite Integrals, The Definite Integral as a Limit of a Sum, Area between a Curve and the x-Axis, Area between a Curve and the…

Syllabus content: SL 5.11 SL 5.5 AHL 5.17

SL students read sections 27.1, 27.2, 27.3, 27.5. HL students read every section (the HL-only sections are marked HL).

Section Syllabus
27.1 Definite Integrals SL 5.11
27.2 The Definite Integral as a Limit of a Sum SL 5.5
27.3 Area between a Curve and the x-Axis SL 5.11
27.4 Area between a Curve and the y-Axis AHL 5.17
27.5 Area between Curves SL 5.11
27.6 Volumes of Revolution AHL 5.17

Review exercises

Exam practice (with markschemes)