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I see equations of the form,
[itex]y=\int_{-\infty }^{t}{F\left( x \right)}dx[/itex]
a lot in my texts.
What exactly does it mean? From the looks of it, it just means there is effectively no lower bounds.
I looked up improper integrals, but I can't say I really understand what is going on.
So when evaluating,
If [itex]\frac{d\left( f\left( x \right) \right)}{dx}=F\left( X \right)[/itex]
Do I just take the lower bound term - that I have to subtract - to be the f(x) as x approaches -infinity? Do I set the lower bound term to 0?
[itex]y=\int_{-\infty }^{t}{F\left( x \right)}dx\; =\; f\left( t \right)-0=f\left( t \right)[/itex]
?
[itex]y=\int_{-\infty }^{t}{F\left( x \right)}dx[/itex]
a lot in my texts.
What exactly does it mean? From the looks of it, it just means there is effectively no lower bounds.
I looked up improper integrals, but I can't say I really understand what is going on.
So when evaluating,
If [itex]\frac{d\left( f\left( x \right) \right)}{dx}=F\left( X \right)[/itex]
Do I just take the lower bound term - that I have to subtract - to be the f(x) as x approaches -infinity? Do I set the lower bound term to 0?
[itex]y=\int_{-\infty }^{t}{F\left( x \right)}dx\; =\; f\left( t \right)-0=f\left( t \right)[/itex]
?