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**tttcomrader** Taking the derivative of $\displaystyle \int ^ { \infty } _{t} e^ {- \int ^{v} _{t} r ( \omega ) d \omega } $

Where v and t represents the same variable (in this case, time) at different value, with v being fixed and t being the variable of differentiation.

I know that I will probably have to use Leibniz's rule at some point, but I'm threw off by the infinity sign, how do I take the derivative with that? (Can I still use the fundamental theorem of calculus?)

Thanks!