Translation

You submitted the following TeX

\documentstyle{article}
\pagestyle{empty}
\topmargin=-0.5in
\textheight=9in
\begin{document}

\begin{center}
{\large\bf Sample Equations} 
\end{center}

\vspace{.2in}


\begin{equation}
x' + y^{2} = z_{i}^{2}
\end{equation}

\vspace{.1in}

\begin{equation}
-2 \, \ln |x-2| + 3 \, \ln |x-3| + C
\end{equation}

\vspace{.1in}

\begin{equation}
y = k \, e^{x^2/2} - 1\;\; 
\end{equation}

\vspace{.1in}

\begin{equation}
 \frac{dr}{dt} = \frac{1}{\pi}
\end{equation}
\begin{equation}
[-1/\sqrt{3},0] \cup [1/\sqrt{3},+\infty[ 
\end{equation}

\vspace{.1in}

\begin{equation}
 \frac{\cos x}{2 \sqrt{\sin x}}
\end{equation}

\vspace{.1in}

\begin{equation}
 A = \int_0^1 \frac{\ln(x+1) \,
\sqrt{x^2 + 2x + 2}}{x + 1} \, dx
\end{equation}

\vspace{.1in}

\begin{equation}
 \frac{1}{2} \int_0^{\pi/3}
\sin^2 3\theta \; d\theta = \frac{\pi}{12}
\end{equation}

\end{document}


\vspace{.1in}

TtHMML translated this into:

Sample Equations

x' + y_{}^{2} = z_{i}^{2} (1)

- 2 \ln ‖ x - 2 ‖ + 3 \ln ‖ x - 3 ‖ + C (2)

y = k e_{}^{x_{}^{2} / 2} - 1 (3)

\frac{dr}{dt} = \frac{1}{π} (4)

[- 1 / \sqrt{3}, 0] \cup [1 / \sqrt{3}, + \infty [(5)

\frac{\cos x}{2 \sqrt{\sin x}} (6)

A = \int_{0}^{1} \frac{\ln (x + 1) \sqrt{x_{}^{2} + 2 x + 2}}{x + 1} dx (7)

\frac{1}{2} \int_{0}^{π / 3} \sin^{2} 3 θ d θ = \frac{π}{12} (8)

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**** Unknown command \pagestyle, (0 user-defined)
**** Unknown parameter/dimension/glue command \topmargin=
**** Unknown parameter/dimension/glue command \textheight=
No auxiliary LaTeX file found: .aux
Number of lines processed= 56

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