IB DP Maths: AA SL復習筆記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 SL復習筆記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 SL復習筆記5.4.1 Integrating Special Functions
Integrating Trig Functions How do I integrate sin and cos? Worked Example ? Integrating e^x & 1/x How do I integrate exponentials and logarithms? Exam Tip Make sure you have a copy of th...
IB DP Maths: AA SL復習筆記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 SL復習筆記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 SL復習筆記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...
IB DP Maths: AA SL復習筆記5.2.5 Concavity & Points of Inflection
Concavity of a Function What is concavity? Concavity?is the way in which a?curve?(or surface)?bends Mathematically,CONCAVE?DOWN?is often called?concave CONCAVE?UP?is often called?convex Exam...
IB DP Maths: AA SL復習筆記5.2.4 Further Applications of Differentiation
Stationary Points & Turning Points What is the difference between a stationary point and a turning point? A?stationary point?is a point at which the?gradient function?is equal to zero The?tange...
IB DP Maths: AA SL復習筆記5.2.3 Second Order Derivatives
Second Order Derivatives What is the second order derivative of a function? If you?differentiate?the?derivative?of a?function?(i.e. differentiate the function a second time) you get the?second orde...
