FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 3.65Example 130:
(2x 5 dx+ )^3
Let, 2x + 5 = u
2. dx = du
dx = 21 du
I = 21 u du^3
=1 12 4⋅u^4
=^18 (2x 5)+^4
Example 131:
dx(^) 5x
Let, 5x = u
or, 5 dx = du
or, dx =^15 du
I = 5 u 51 du 1 = logu
(^1) log 5x c
= 5 +
Example 132:
dx
(^) 3 x−
Let, 3 – x = u
- dx = du
dx = – du
I = − duu= −logu
= −log(3 x) c− +