Contents
1
Functions as limits of integration
1.1 Splitting the region of integration
2 Order of integration
3 Evaluating surface integrals using polar coordinates
3.1 Polar coordinates
3.2 Finding surface integrals with polar coordinates
4 Applications of surface integration
4.1 Force on a dam
4.2 Centre of pressure
5 Engineering Example 1
5.1 Volume of liquid in an elliptic tank
1.1 Splitting the region of integration
2 Order of integration
3 Evaluating surface integrals using polar coordinates
3.1 Polar coordinates
3.2 Finding surface integrals with polar coordinates
4 Applications of surface integration
4.1 Force on a dam
4.2 Centre of pressure
5 Engineering Example 1
5.1 Volume of liquid in an elliptic tank