This is going to be a really dumb question, but somehow it's not really clicking.
I read somewhere that: [itex]\int_{a}^{x} f(t)\,dt = F(x) - F(a)[/itex]
But, this is also true: [itex]F(x) = \int_{a}^{x} f(t)\,dt[/itex].
Does this imply that [itex]F(x) = F(x) - F(a)[/itex]?
For example, at a random number, c,:
[itex]F(c) = \int_{c}^{x} f(t)\,dt = F(c) - F(a)[/itex]
I read somewhere that: [itex]\int_{a}^{x} f(t)\,dt = F(x) - F(a)[/itex]
But, this is also true: [itex]F(x) = \int_{a}^{x} f(t)\,dt[/itex].
Does this imply that [itex]F(x) = F(x) - F(a)[/itex]?
For example, at a random number, c,:
[itex]F(c) = \int_{c}^{x} f(t)\,dt = F(c) - F(a)[/itex]
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