\documentclass[10pt,a4paper]{article}

% Packages
\usepackage{fancyhdr}           % For header and footer
\usepackage{multicol}           % Allows multicols in tables
\usepackage{tabularx}           % Intelligent column widths
\usepackage{tabulary}           % Used in header and footer
\usepackage{hhline}             % Border under tables
\usepackage{graphicx}           % For images
\usepackage{xcolor}             % For hex colours
%\usepackage[utf8x]{inputenc}    % For unicode character support
\usepackage[T1]{fontenc}        % Without this we get weird character replacements
\usepackage{colortbl}           % For coloured tables
\usepackage{setspace}           % For line height
\usepackage{lastpage}           % Needed for total page number
\usepackage{seqsplit}           % Splits long words.
%\usepackage{opensans}          % Can't make this work so far. Shame. Would be lovely.
\usepackage[normalem]{ulem}     % For underlining links
% Most of the following are not required for the majority
% of cheat sheets but are needed for some symbol support.
\usepackage{amsmath}            % Symbols
\usepackage{MnSymbol}           % Symbols
\usepackage{wasysym}            % Symbols
%\usepackage[english,german,french,spanish,italian]{babel}              % Languages

% Document Info
\author{NoxLupus (NoxLupus)}
\pdfinfo{
  /Title (caluc2-test2.pdf)
  /Creator (Cheatography)
  /Author (NoxLupus (NoxLupus))
  /Subject (caluc2-test2 Cheat Sheet)
}

% Lengths and widths
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\addtolength{\voffset}{-2cm}
\setlength{\tabcolsep}{0.2cm} % Space between columns
\setlength{\headsep}{-12pt} % Reduce space between header and content
\setlength{\headheight}{85pt} % If less, LaTeX automatically increases it
\renewcommand{\footrulewidth}{0pt} % Remove footer line
\renewcommand{\headrulewidth}{0pt} % Remove header line
\renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit
% This two commands together give roughly
% the right line height in the tables
\renewcommand{\arraystretch}{1.3}
\onehalfspacing

% Commands
\newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour
\newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols
\newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns
\newcommand{\tn}{\tabularnewline} % Required as custom column type in use

% Font and Colours
\definecolor{HeadBackground}{HTML}{333333}
\definecolor{FootBackground}{HTML}{666666}
\definecolor{TextColor}{HTML}{333333}
\definecolor{DarkBackground}{HTML}{662A1C}
\definecolor{LightBackground}{HTML}{FAF8F7}
\renewcommand{\familydefault}{\sfdefault}
\color{TextColor}

% Header and Footer
\pagestyle{fancy}
\fancyhead{} % Set header to blank
\fancyfoot{} % Set footer to blank
\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
    \SetRowColor{DarkBackground}
    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
    }
\end{tabulary}
\columnbreak
\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{caluc2-test2 Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{NoxLupus (NoxLupus)} via \textcolor{DarkBackground}{\uline{cheatography.com/46432/cs/15308/}}}
\end{tabulary}
\end{multicols}}

\fancyfoot[L]{ \footnotesize
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{LL}
  \SetRowColor{FootBackground}
  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}NoxLupus (NoxLupus) \\
  \uline{cheatography.com/noxlupus} \\
  \end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Not Yet Published.\\
   Updated 16th September, 2018.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
\vfill
\columnbreak
\begin{tabulary}{5.8cm}{L}
  \SetRowColor{FootBackground}
  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}}  \\
  \SetRowColor{white}
  \vspace{-5pt}
  %\includegraphics[width=48px,height=48px]{dave.jpeg}
  Measure your website readability!\\
  www.readability-score.com
\end{tabulary}
\end{multicols}}




\begin{document}
\raggedright
\raggedcolumns

% Set font size to small. Switch to any value
% from this page to resize cheat sheet text:
% www.emerson.emory.edu/services/latex/latex_169.html
\footnotesize % Small font.

\begin{multicols*}{2}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{cirecles}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{x = h +- r*cos(t) \{\{nl\}\} y = h -+ r*sin(t) \{\{nl\}\}	center = (h,k)} \tn 
% Row Count 2 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{2t makes it go around twice \newline -t makes it go around backwards}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{rectangl}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{ArcLenth: L = \{\{fa-bolt\}\}root( 1 + f'(x)\textasciicircum{}2\textasciicircum{} )} \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{Suface of Revolution: \{\{nl\}\}X-axsis: S = \{\{fa-bolt\}\}root( 1 + f'(x)\textasciicircum{}2\textasciicircum{} ) * 2 \{\{fa-pie-chart\}\} f(x) \{\{nl\}\}Y-axsis: S = \{\{fa-bolt\}\}root( 1 + f'(x)\textasciicircum{}2\textasciicircum{} ) * 2 \{\{fa-pie-chart\}\} x} \tn 
% Row Count 5 (+ 4)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Volum of Revolution: \{\{nl\}\}X-axsis: S = \{\{fa-bolt\}\} \{\{fa-pie-chart\}\} f(x)\textasciicircum{}2\textasciicircum{} \{\{nl\}\}Y-axsis: S = \{\{fa-bolt\}\}\{\{fa-pie-chart\}\} x\textasciicircum{}2\textasciicircum{}} \tn 
% Row Count 8 (+ 3)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{\{\{fa-bolt\}\} \newline  \{\{fa-pie-chart\}\}}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Parmetric}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{deriv:\{\{nl\}\} dy/dx ~~ = y'/x' \{\{nl\}\} dy\textasciicircum{}2\textasciicircum{}/dx\textasciicircum{}2\textasciicircum{} = (dx/dy)'/x'} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{ArcLenth: L = \{\{fa-bolt\}\}root( (dx/dt)\textasciicircum{}2\textasciicircum{} + (dy/dt)\textasciicircum{}2\textasciicircum{} )} \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{(dx/dt)\textasciicircum{}2\textasciicircum{} =  \newline (dy/dt)\textasciicircum{}2\textasciicircum{} =}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{3.44 cm} x{4.56 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{convertoin}}  \tn
% Row 0
\SetRowColor{LightBackground}
x = rsin\{\{fa-clock-o\}\} & r = root( x\textasciicircum{}2\textasciicircum{} + y\textasciicircum{}2\textasciicircum{} ) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
y = rcso\{\{fa-clock-o\}\} & \{\{fa-clock-o\}\} = tan\textasciicircum{}-1\textasciicircum{}(y/x) \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Polar}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{Area: ~~~~~ A = 1/2 \{\{fa-bolt\}\} (f(\{\{fa-clock-o\}\}))\textasciicircum{}2\textasciicircum{}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{ArcLenth: L = \{\{fa-bolt\}\}root( (r)\textasciicircum{}2\textasciicircum{} + (dr/d\{\{fa-clock-o\}\})\textasciicircum{}2\textasciicircum{} )} \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{conic}}  \tn
% Row 0
\SetRowColor{LightBackground}
r = ed/(1+ecos\{\{fa-clock-o\}\}) & r = ed/(1-ecos\{\{fa-clock-o\}\}) \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
r = ed/(1+esin\{\{fa-clock-o\}\}) & r = ed/(1-esin\{\{fa-clock-o\}\}) \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\SetRowColor{LightBackground}
\mymulticolumn{2}{x{8.4cm}}{left  ~~  | right \newline -{}-{}-{}--|-{}-{}-{}-{}-{}-{}- \newline down | up}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.8 cm} x{7.2 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{r =}}  \tn
% Row 0
\SetRowColor{LightBackground}
e & how you tell the type \tn 
% Row Count 1 (+ 1)
% Row 1
\SetRowColor{white}
d & deretix: \{\{nl\}\}	for cos x = d for sin y = d \tn 
% Row Count 3 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}--}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{centrodids}}  \tn
% Row 0
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{x̅ = 1/\{\{fa-bolt\}\}(f(x)-g(x)) * \{\{fa-bolt\}\}x*{[}f(x)-g(x){]}} \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{8.4cm}}{ȳ =1/\{\{fa-bolt\}\}(f(x)-g(x)) * \{\{fa-bolt\}\}1/2*{[}f(x)\textasciicircum{}2\textasciicircum{}-g(x)\textasciicircum{}2\textasciicircum{}{]}} \tn 
% Row Count 4 (+ 2)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{8.4cm}}{if g(x) = x-axis you can just drop it}  \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{8.4cm}{p{0.72 cm} x{1.872 cm} x{2.304 cm} x{2.304 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{8.4cm}}{\bf\textcolor{white}{trig}}  \tn
% Row 0
\SetRowColor{LightBackground}
 & \{\{fa-pie-chart\}\}/6 & \{\{fa-pie-chart\}\}/4 & \{\{fa-pie-chart\}\}/3 \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
sin & 1/2 & root(2)/2 & root(3)/2 \tn 
% Row Count 3 (+ 1)
% Row 2
\SetRowColor{LightBackground}
cos & root(3)/2 & root(2)/2 & 1/2 \tn 
% Row Count 4 (+ 1)
% Row 3
\SetRowColor{white}
tan & root(3)/2 & 1 & root(3) \tn 
% Row Count 5 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}