(adsbygoogle = window.adsbygoogle || []).push({}); URGENT: Integral of (n+1)th derivative

1. The problem statement, all variables and given/known data

let f^{(n+1)}be integrable on [a;b]; show that

f(b)=[tex]\sum[/tex] [tex]\frac{f^{(r)}(a)}{r!}[/tex](b-a)^{r}+[tex]\frac{1}{n!}[/tex] [tex]\int^{a}_{b}[/tex]f^{(n+1)}(t)(b-t)^{n}dt

hint:integrate by parts and use induction

PLEASE any idea about how to solve it would be really appreciated..... I've been trying for more than an hour but no idea

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# Homework Help: : Integral of (n+1)th derivative

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