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MATHEMATICS FOR ENGINEERING INTEGRATION …
1 MATHEMATICS FOR ENGINEERING INTEGRATION TUTORIAL 3 - NUMERICAL INTEGRATION METHODS This tutorial is essential pre-requisite material for anyone studying mechanical ENGINEERING . This tutorial uses the principle of learning by example. The approach is practical rather than purely mathematical. On completion of this tutorial you should be able to do the following. Revise basic INTEGRATION . Find the areas under graphs of known functions. Define ordinates and mid-ordinates. Use the mid-ordinate rule. Use the trapezoidal rule. Use Simpson's Rule Apply the methods to real ENGINEERING problems.
4 2.3 TRAPEZOIDAL RULE Consider that each strip has a straight line joining the top corners as shown. The height at the middle is not quite the same as the mid-ordinate and …
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