HSC integrals and calculus applications are tested across Advanced, Extension 1, and Extension 2. Extension students face harder integration — substitution, integration by parts, partial fractions, and volumes of solids of revolution.
Integration techniques to master
- Standard integrals and reverse chain rule
- Trigonometric integrals — double angle, t-substitution
- Integration by parts — LIATE rule for choosing u and dv
- Partial fractions for rational functions
- Definite integrals — areas, volumes of revolution, arc length
- Improper integrals (Extension 2)
Integrals booklet
HSC Integrals on Vu's Maths Hub covers integration techniques and applications with full Extension 1 and Extension 2 worked solutions.
Calculus across the course
Integration connects to:
- HSC Differential Equations — solving ODEs by integration
- HSC Mechanics — displacement from velocity, velocity from acceleration
- HSC Trigonometry — trig integrals
- HSC Functions — areas between curves
Free NESA-aligned HSC Maths booklets — past paper practice and tutoring alternative at vumaths.com.
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