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a?

yes

\[\int\limits_p^\infty F(a)\cdot\text da\]

\[\int\limits_p^\infty F(x)\cdot\text dx\]

\[\int\limits\limits_p^\infty F(mukushla)\cdot\text d(mukushla)\]

the notation is still troubling me

Where???

well i kinda had to change the question so i could answer it

do you understand why i am getting confused/

well the question in the book makes no sense

certainly this is confusing, but why not use u-substitution for F(p) ?

im not sure why you'd do that?

differential equations; laplace transforms

you could ask satellite73 or amistre when they get online....

yeah, i looked at this earlier and dont have anything pertinent to add to it :/ srry