Modul
e
7 : Applications of Integration - I
Lecture
19 : Definition of the natural logarithmic function [Section1 9.1]
Hence
.
(iii)
It can be shown that the number
is an irrational number and is also given by
.
19.1.5
Examples
(i)
Let
We want to find
for
. We can use the
function to do this. Since
we have, by Chain rule,
1
2
3
4
5
6
7
8
9
10
11
12
13
. 
is an irrational number and is also given by 
. 
for 
. We can use the 
function to do this. Since 
