Video:Integration by parts: Difference between revisions

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==Statement==
==Statement==


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==Explicit procedure==
==Explicit procedure==


<center>{{#widget:YouTube|id=ir4wy8NCBDU}}</center>
<center>{{#widget:YouTube|id=2EIioLkPUn0}}</center>


==Key observations==
==Key observations==


<center>{{#widget:YouTube|id=yLWRvwb_t-I}}</center>
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==Choosing the parts to integrate and differentiate==
==Choosing the parts to integrate and differentiate==
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===Comparing the complexity effects of differentiation and integration on important classes of functions===
===Comparing the complexity effects of differentiation and integration on important classes of functions===


<center>{{#widget:YouTube|id=TFLYvHXvcrM}}</center>
<center>{{#widget:YouTube|id=WsrLDFK_dbI}}</center>


===General heuristic: ILATE rule===
===General heuristic: ILATE rule===


<center>{{#widget:YouTube|id=hcgszOsO364}}</center>
<center>{{#widget:YouTube|id=x9LakDym4}}</center>


==Standard strategies for products and composites==
==Standard strategies for products and composites==
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===Product strategies: simple cases===
===Product strategies: simple cases===


<center>{{#widget:YouTube|id=m7WIaZvuGRg}}</center>
<center>{{#widget:YouTube|id=WQQfIbhusak}}</center>


<center>{{#widget:YouTube|id=BxxwiDcAHo8}}</center>
<center>{{#widget:YouTube|id=tgnckzpGo7k}}</center>


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===Recursive version of integration by parts===
===Recursive version of integration by parts===


<center>{{#widget:YouTube|id=A91mhGOxYsA}}</center>
<center>{{#widget:YouTube|id=dYWSzfX0HQ0}}</center>


===Product strategies: complicated cases===
===Product strategies: complicated cases===


<center>{{#widget:YouTube|id=ei46z9HaZpY}}</center>
<center>{{#widget:YouTube|id=k6aDvc7oURE}}</center>

Revision as of 22:58, 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}}

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}}