 c if n -1 ≠ 1  2. x ln   dx x c = ln Ax a x x ln a  c , x x  5. cos sin ,   xdx x c  6. sin cos ,   xdx x c  7. tan ,   xdx x c 2  8. sec tan  sec  , x xdx x c  9. cos cot cos ,   ecx xdx ecx c  10. cos cot ,   ec2xdx x c Further Reading 1. Pure mathematics (First Coure) By J. K Backhouse and others Longman Group Ltd Harlow, Essex, U.K 13 CHAPTER 2 Integration of Functions Containing First Degree Expressions – Extension of the Basic Formula. 2.1 Introduction In chapter one you have learnt to integrate functions using the Ten Basic Formulae. Unlike differentiation of functions, integration is not so easy, however we have about six techniques of integration with which a given function can be integrated. One of the techniques is integration using the Extension formulae. Suppose that a degree expression is present in the place of x in the Ten Basic formula, we can use conveniently the same formulae and obtain the result. The new formulae are called extension formulae”. In this chapter we shall “the
 c if n ≠ -1 2. 1 x dx  ln x  c = ln Ax x a x ln a  c , x x 5. 6. cos xdx  sin x  c , sin xdx  cos x  c , 7. 2 xdx  tan x  c , 8. 9. sec x tan xdx  sec x  c , cos ecx cot xdx  cos ecx  c , 10. cos ec2xdx  cot x  c , Further Reading 1. Pure mathematics (First Coure) By J. K Backhouse and others Longman Group Ltd Harlow, Essex, U.K 13 CHAPTER 2 Integration of Functions Containing First Degree Expressions – Extension of the Basic Formula. 2.1 Introduction In chapter one you have learnt to integrate functions using the Ten Basic Formulae. Unlike differentiation of functions, integration is not so easy, however we have about six techniques of integration with which a given function can be integrated. One of the techniques is integration using the Extension formulae. Suppose that a degree expression is present in the place of x in the Ten Basic formula, we can use conveniently the same formulae and obtain the result. The new formulae are called “the extension formulae”. In this chapter we shall       