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Mathematics 8 Online
OpenStudy (anonymous):

Anyone care to help step by step of Integral of (x^2)(sin(pi)(x))(dx)?

OpenStudy (mathteacher1729):

You're going to have to use integration by parts here. The goal is to let v = (someting that will "differentiate away to a constant". ) and let du = (something easy to integrate). Check out example NINE (9) for a very nice way to do this kind of integral without getting lost in notation. The table is very helpful! :) http://tutorial.math.lamar.edu/Classes/CalcII/IntegrationByParts.aspx

OpenStudy (anonymous):

Hi there, thanks for the link. that's what I am stuck on, integrating by parts.

OpenStudy (mathteacher1729):

Check out these awesome PDF which explains how to do "tabular integration by parts" PDF http://www.mcs.sdsmt.edu/tkowalsk/notes/Tabular-IBP.pdf http://www.math.washington.edu/~hubenjm/tabular.pdf You can find lots more by searching google for tabular integration by parts ext:pdf (the "ext:pdf" tells google "Hey, only give me results that are PDF format!" -- this tends to ensure you're getting university notes) :)

OpenStudy (anonymous):

Hey thanks! This was not the way my teacher taught it but it gave me a new way of integrating by parts! Thanks for your time!

OpenStudy (mathteacher1729):

The tabular thing is SUPER DUPER useful, especially when you have to do more than one integration by parts. It's the same technique, just a different way of organizing the same steps.

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