
16-1
16
Successive Partial Integration
L e a rnin g Obje c ti v e s
After reading this chapter, you will be conversant with:
♦ Successive Integration
♦ Double Integrals over Rectangular Regions
♦ Double Integrals over General Regions
♦ Applications of Double Integrals
♦ Multiple Integrals
♦ Change of Variables
Introduction
In the preceding chapters, we dealt with finding the function y of single variable x whenever its first-
order derivative
dy dx is given using the process of integration. However, we did not keep our focus
on finding the function y of x when its higher order derivatives
d y
d y
d y
n
n
2
2
3
3
, , , are given. Also
we did not ...