I see equations of the form,(adsbygoogle = window.adsbygoogle || []).push({});

[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]

?

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# Definite integrals with -infinity low bound

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