Differentiation for Kinematics How is differentiation used in kinematics? Displacement,?velocity?and?acceleration?are related by calculus In terms of differentiation and derivatives velocity?is the...
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...
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...
