Techniques of Integration

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Presentation transcript:

Techniques of Integration Or the fine art of pattern recognition! Chapter 7

Who’s this? Pattern recognition is “built into us”. We all possess amazing pattern recognition abilities!

Name this tune… Learning how to recognize integral patterns is much like learning to recognize familiar faces or tunes!

Why is integration so much harder than differentiation? Any “fool” can drop a vase! That’s differentiation. Sometimes it takes an “artist” to put it back together! That’s integration.

Trigonometric Integrals Summary of Techniques Substitution Integration by Parts Trigonometric Integrals Trig Substitution Partial Fraction CAS and Tables Numerical 7.2 7.1 7.3 7.6 7.7

Examples… Pg 457-459: 9,10,13,24,27,40,47 Do the following: Read section 7.5 – Strategy for Integration Identify the pattern Decide on the appropriate subs Integrate