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operationsres
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Let [itex]f(x)[/itex] be a non-stochastic mapping [itex]f: \mathbb{R} \to \mathbb{R}[/itex]. The second fundamental theorem of calculus states that:
[itex]\frac{d}{dx} \int_a^x f(s)ds = f(x)[/itex].
*QUESTION 1* Is the following true?
[itex]\frac{d}{dx} \int_x^a f(s)ds = f(x)[/itex].
*QUESTION 2* Related to this, how can I evaluate/simplify/express:
[itex]d\int_x^a f(s)ds[/itex].
[itex]\frac{d}{dx} \int_a^x f(s)ds = f(x)[/itex].
*QUESTION 1* Is the following true?
[itex]\frac{d}{dx} \int_x^a f(s)ds = f(x)[/itex].
*QUESTION 2* Related to this, how can I evaluate/simplify/express:
[itex]d\int_x^a f(s)ds[/itex].