Math CentralQuandaries & Queries


Question from seth, a student:

hi i really don't understand integration by parts. for example, the integral(t^2sintdt. i have u=t^2 and v'=sint also u'=t^/3 v=-cost for the formula i have uv-integralvu' dx this is all well and good but i cant get it right. can you please show me step by step how to do this and explain all processes and procedures, thank you in advance

Hi Seth,

You let u = t2 and v' = sin t. Your error is in the next line since u = t2 gives u' = 2t. You have v correct, v = - cos t. Now use the integration by parts expression. You will probably have to use integration by parts again to complete this problem.


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