# Thread: Integration of double derivative

1. ## Integration of double derivative

Hello everyone!

I'm seeking help for resolving this integral where gamma is a constant and Z(s) is a continuous function of s.

$
\frac{1}{\gamma} \int_t^T e^{-\gamma(T-s)}\ \frac{d^2}{d s^2}\ln(Z(s))\ ds
$

Any help will be greatly appreciated!

Paolo

2. There is not way of doing this without knowning $Z(s)$. Using integration by parts twice we can get $\int e^{-\gamma (T-s)}\ln Z(s) ds$.

3. ## PerfectHacker: Thanks...

Hey PerfectHacker, How R U?

Thanks a bunch for your input.
May I ask you to, please, show me in detail the steps that took you to that integral?

I hope you will... Thanks!!