Maths › Integration

Integration

Differentiation run backwards, and then somewhere new. Antiderivatives recover a curve from its gradient, definite integrals measure the area underneath, and by the end the same machinery solves differential equations.

Years 12-13 · 7 topics.

• Integration as antidifferentiation
• Definite integrals and areas
• Integrating standard functionsWRITING
• Integration by substitution and by partsWRITING
• Integrating rational functionsWRITING
• Areas, parametric curves and the limit of a sumWRITING
• Solving differential equationsWRITING