how do you integrate (x-t)sintdt from o to x?

Thanks

Do you use substitution?

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- Feb 4th 2009, 03:32 PMdixieintegration
how do you integrate (x-t)sintdt from o to x?

Thanks

Do you use substitution? - Feb 4th 2009, 03:58 PMKrizalid
$\displaystyle \int_{0}^{x}{(x-t)\sin (t)\,dt}=x\int_{0}^{x}{\sin (t)\,dt}-\int_{0}^{x}{t\sin (t)\,dt}.$

First one is immediate and the second one requires integration by parts.