Show that the integration x*(theta*(1-theta)^(x-1)) dx with limits 1 and infinity equals 1/theta?

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- Jan 16th 2013, 08:39 AMJDAWESIntegration with limits 1 and infinity.
Show that the integration x*(theta*(1-theta)^(x-1)) dx with limits 1 and infinity equals 1/theta?

- Jan 16th 2013, 09:04 AMBariothRe: Integration with limits 1 and infinity.
Hey the integrate you gave doesn,t give 1/theta

it end up giving something like

$\displaystyle \frac{\theta (1-log(1-\theta))}{(log^2(1-\theta))}$

*Unless i made a mistake*