Video:Integration by parts: Difference between revisions

From Calculus
 
Line 21: Line 21:
===General heuristic: ILATE rule===
===General heuristic: ILATE rule===


<center>{{#widget:YouTube|id=x9LakDym4-0}}</center>
<center>{{#widget:YouTube|id=x9LakDym4-o}}</center>


==Standard strategies for products and composites==
==Standard strategies for products and composites==

Latest revision as of 22:59, 22 December 2012

ORIGINAL FULL PAGE: Integration by parts
STUDY THE TOPIC AT MULTIPLE LEVELS:
ALSO CHECK OUT: Practical tips on the topic |Quiz (multiple choice questions to test your understanding) |Page with videos on the topic, both embedded and linked to

Statement

{{#widget:YouTube|id=RhuUdh2vZIU}}

Explicit procedure

{{#widget:YouTube|id=2EIioLkPUn0}}

Key observations

{{#widget:YouTube|id=tngEsBhkrgU}}

Choosing the parts to integrate and differentiate

Comparing the complexity effects of differentiation and integration on important classes of functions

{{#widget:YouTube|id=WsrLDFK_dbI}}

General heuristic: ILATE rule

{{#widget:YouTube|id=x9LakDym4-o}}

Standard strategies for products and composites

Product strategies: simple cases

{{#widget:YouTube|id=WQQfIbhusak}}
{{#widget:YouTube|id=tgnckzpGo7k}}
{{#widget:YouTube|id=QwNsyTF7cS8}}

Recursive version of integration by parts

{{#widget:YouTube|id=dYWSzfX0HQ0}}

Product strategies: complicated cases

{{#widget:YouTube|id=k6aDvc7oURE}}