Standard form?(sometimes called?scientific notation?or?standard index form) gives us a way of writing very big and very small numbers using powers of 10. Standard Form Why use standard form? Some n...
Differentiation for Kinematics How is differentiation used in kinematics? Displacement,?velocity?and?acceleration?are related by calculus In terms of differentiation and derivatives Worked Example ...
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 How do I find the area under a curve when the curve is fully under the x-axis? ? STEP 1 Write the expression for the definite integral to find the area as usual This may involve ...
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 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...
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...
