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all right I just want to talk about how we go about deriving the integration by parts formula from calculus so a lot of people have this memorized integral of UDV equals UV minus the integral of VDU people sometimes forget it for sure and I just you know if you had to you know obviously this is something that you want to memorize it shows us a lot but if you forget it heres a way to derive it or maybe you know again youre just interested as to where it comes from so suppose we start with you know basically what the integration by parts formula kind of does is it it undoes the product rule so suppose we have a product f of x times G of X and we want to take the derivative of that well the product rule just says well take the derivative of one of them so Ill take F prime of X and then it says leave the other one alone and then stick a plus sign and in between and now we just kind of switch them out so I took the derivative of F well leave it alone I didnt take the derivative of G o