IB DP Maths: AA HL复习笔记5.6.1 Kinematics Toolkit
Displacement, Velocity & Acceleration What is kinematics? Kinematics is the branch of mathematics that models and analyses the motion of objects Common words such as distance, speed and acceler...
IB DP Maths: AA HL复习笔记5.5.1 Modelling with Differentiation
Modelling with Differentiation What can be modelled with differentiation? Recall that differentiation is about the rate of change of a function and provides a way of finding minimum and maximum val...
IB DP Maths: AA HL复习笔记5.4.4 Further Applications of Integration
Negative Integrals The area under a curve may appear fully or partially under the x-axis This is given in the formula booklet How do I find the area under a curve when the curve is fully under the ...
IB DP Maths: AA HL复习笔记5.4.3 Definite Integrals
Definite Integrals What is a definite integral? The constant of integration (“+c”) is not needed in definite integration “+c” would appear alongside both F(a) and F(b) subtracting means the “+c”’s ...
IB DP Maths: AA HL复习笔记5.4.2 Techniques of Integration
Integrating Composite Functions (ax+b) What is a composite function? A composite function involves one function being applied after another A composite function may be described as a “function of a...
IB DP Maths: AA HL复习笔记5.4.1 Integrating Special Functions
Integrating Trig Functions How do I integrate sin, cos and sec^2? The antiderivatives for sine and cosine are For calculus with trigonometric functions angles must be measured in radians Ensure you...
IB DP Maths: AA HL复习笔记5.3.2 Applications of Integration
Finding the Constant of Integration What is the constant of integration? When finding an anti-derivative there is a constant term to consider In terms of graphing an anti-derivative, there are endl...
IB DP Maths: AA HL复习笔记5.3.1 Introduction to Integration
Introduction to Integration What is integration? Integration is the opposite to differentiation Integration is referred to as antidifferentiation The result of integration is referred to as the ant...
IB DP Maths: AA HL复习笔记5.2.6 Derivatives & Graphs
Derivatives & Graphs How are derivatives and graphs connected? asymptotes – vertical and horizontal intervals where the graph is increasing and decreasing intervals where the graph is concave d...
