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...
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 ...
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 ...
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...
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...
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...
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...
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...
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 Tip I...
