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...
