Lower and Upper bound of an integral

[channel_coding84]

Hi all,

I want to show that the follwoing integral

A_n(t)= 1/(n+1)!∫w^(n-1)(1-w)/(1+tw)dw

where the lower and upper limits are 0 and 1, respectively,

is bound by:

1/(n+1)!(1+t)<=A_n(t)<=1/n!

It would great if somebody can find some time to help me.

Added after 2 hours 14 minutes:


Can somebody send me the paper:


"Finding Bounds for Definite Integrals"
W. Vance Underhill


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from JSTORE

 

[htg]

Use more parenthesis to write the formula for the integral in an unambiguous way.