vault backup: 2025-04-06 12:18:45
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@ -88,6 +88,7 @@ Average = $\dfrac{1}{b-a} \int_a^b f(x)dx$
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$$\int_a^b f(x) dx = F(b) - F(a)$$
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2. Let $f$ be a continuous function on $[a, b]$ and let $x$ be a point in $[a, b]$.
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$$ F(x) = \int_a^x f(t)dt \Rightarrow F'(x) = f(x) $$
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This basically says that cancelling out the derivative from $a$ to $x$ can be done by
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$$ \dfrac{d}{dx} \int_a^{g(x)} f(t) dt = f(g(x)) * g'(x)* $$
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## Examples
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> Finding the derivative of an integral
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