IB Maths AA 5.4 Definitions

This page contains our IB Maths AA definitions for 5.4. By learning each one of these definitions, you will fully cover the content for IB Maths AA 'Introduction to integration'.

All Topic 5 Sub-topics 5.1: Introduction To Derivatives 5.2: Applying Derivatives 5.3: Advanced Derivatives 5.4: Introduction To Integration 5.5: Advanced Integration 5.6: Kinematics (HL)5.7: Advanced limits (HL)5.8: Implicit differentiation (HL)5.9: Challenging derivatives (HL)5.10: Challenging integration (HL)5.11: Applying integration (HL)5.12: Differential equations (HL)5.13: Maclaurin series

anti-differentiation

Finding a function

F(x)

such that

F'(x)=f(x)

, so that

\int f(x)\,dx=F(x)+C

antiderivative

A function

F(x)

whose derivative is

f(x)

, meaning

F'(x)=f(x)

integration

The reverse of differentiation, used to rebuild a function from its derivative and to calculate accumulated change such as area.

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