IB Maths AI 5.3 Definitions

This page contains our IB Maths AI definitions for 5.3. By learning each one of these definitions, you will fully cover the content for IB Maths AI 'Fundamentals of integration'.

All Topic 5 Sub-topics 5.1: Introduction To Derivatives 5.2: Applying Derivatives 5.3: Fundamentals Of Integration (HL)5.4: Advanced derivatives (HL)5.5: Further integration (HL)5.6: Applying integration (HL)5.7: Kinematics (HL)5.8: Introduction to differential equations (HL)5.9: Advanced differential equations

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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