update notations and fix typos
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@@ -79,7 +79,7 @@ $$
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\end{aligned}
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$$
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EOP
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QED
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If $f\in \mathscr{R}$, and there exists a differentiable function $F:[a,b]\to \mathbb{R}$ such that $F'=f$ on $(a,b)$, then
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@@ -107,4 +107,4 @@ $$
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So, $f\in \mathscr{R}$ and $\int_a^b f(x)\ dx=F(b)-F(a)$.
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EOP
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QED
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