A very useful technique for evaluating integrals is Integration by Parts:

It is derived from the product formula for derivatives. Sometimes it is more convenient to express this formula using differentials:

Discussion [Using Flash] [Using Java]

Examples:


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Some drill problems using Integration by Parts like examples 1-4.
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Some drill problems using Integration by Parts like example 5.
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Some drill problems using Integration by Parts like example 6.
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Some more drill problems using Integration by Parts.