#Counting but only using equations

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quiet sparrow
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anything aslong as its an equation
Let me start

2-1+5-3+2-4

warm knot
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I'm assuming this is PEDMAS/BEDMAS/BODMAS
Even with that, think I took the equations a little too far...
LATEX: $$\int_{0}^{1}\frac{1}{\sqrt{x}}dx$$

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===== EXPLANATION LATEX =====
Very long proof... \ \
Denote $f'(x)=\frac{1}{\sqrt{x}}$, then:
\begin{align}
& \int_{0}^{1}\frac{1}{\sqrt{x}}\ dx
\ &= \int_{0}^{1}f'(x)\ dx
\ &= f(1) - f(0)
\end{align}
Then:
\begin{align}
f(x) &= \int\frac{1}{\sqrt{x}}\ dx
\ &= 2 \times \int\frac{1}{2\sqrt{x}}\ dx
\ &= 2 \times \int\left(\frac{d}{dx}\sqrt{x}\right)dx
\ &= 2\sqrt{x} + C
\\ &\therefore \int_{0}^{1}\frac{1}{\sqrt{x}}\ dx
\ &= f(1) - f(0) = 2\sqrt{1} + C - 2\sqrt{0} - C = 2
\end{align}

flint gyro
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8-4+7-3-6