Chapter 5 Integration
5.1 Definition
Given a function f (x) (called the integrand) defined on a closed interval [a, b], the (defRb inite) integral a f (x) dx of f over [a, b] is the area of the (x, y) plane bounded by the graph of f , the x axis and the v
Chapter 1 Functions, inverses and graph-sketching
1.1 Functions
A function f is an entity that operates on a number x (the independent variable) to produce a new number y (the dependent variable). Calculators implement a many functions to a high degree o
Chapter 3 Two more topics in dierentiation
3.1 Implicit Dierentiation
x2 + y 2 = 25 (eqn. of a circle of radius 5). This equation denes a set of points (x, y) which lie on the curve. We can compute the dy slope of the curve dx for any point on this curve
MATH1960
Examples 2 The following examples are divided into three sections: A Worked examples; B Tutorial questions; and C Homework questions. You should study the worked examples as preparation for your tutorial. Your answers to questions in section C on