Laws of Indices What are the laws of indices? Laws of indices (or index laws) allow you to simplify and manipulate expressions involving exponents An exponent is a power that a number (called the b...
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...
