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Additional Mathematics

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Additional Mathematics
ADDITIONAL MATHEMATICS PROJECT
YEAR 2011
FORM5

NAME : ONG KAH HONG
FORM : 5 CEMERLANG
NO I/C : 940422-06-5075
TITLE :Crude Oil
TEACHER : MISS PHUA CHUI CHUI

CONTENTS 1. Introduction
Introduction of project…………….
Introduction of integration………...
Definition of integration…………..
History of integration…………….. 2. Problem Solving
Part1……………………………….
Part2……………………………….
Part3……………………………….
Part4……………………………….
Part5……………………………….
Further Exploration……………….... 3. Conclusion…………………….. 4. Reflection……………………....

INTRODUCTION OF ADDITIONAL MATHEMATICS PROJECT WORK1/2011
The aims of carrying out this project work are to enable students to :
a)Apply mathematics to everyday situations and appreciate theimportance and the beauty of mathematics in everyday lives
b)Improve problem-solving skills, thinking skills , reasoning andmathematical communication
c)Develop positive attitude and personalities and instrinsicmathematical values such as accuracy , confidence andsystematic reasoning
d)Stimulate learning environment that enhances effectivelearning inquiry-base and teamwork
e)Develop mathematical knowledge in a way which increase students’ interest and confidence.
Introduction of integration
In mathematics,integration is a technique of finding a function g(x) the derivative of which, Dg(x), is equal to a given function f(x). This is indicated by the integral sign “∫,” as in ∫f(x), usually called the indefinite integral of the function. (The symbol dx is usually added, which merely identifies x as the variable.) The definite integral, written with a and b called the limits of integration, is equal to g(b) − g(a), whereDg(x) = f(x).Some antiderivatives can be calculated by merely recalling which function has a given derivative, but the techniques of integration mostly involve classifying the functions according to which types of manipulations will change the function into a

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