0
$\begingroup$

I would like to solve the following equation:

 $$\bar{t} = \int_0^{\infty} t F(t) \, dt = \int_0^{\infty} e^{ -4 ms \int_0^t p(t') \, dt' } \, dt$$

Just focusing on the exponential section:

$ p(t')dt' $

and changing the notation slightly to substitute $t'$ with $u$.

I have worked out a few of the steps (see below) but I am not sure if the result has a closed form solution? The following are constants $m$, $s$, $N$.

enter image description here

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.