Generate Math Exams and Quizzes in LaTeX and pdf formats

Find the anti-derivative of \(\displaystyle f(x) = 7 x^{4} + 6 x^{3} + 2 x^{2} - 2 x - 1\).

Using the power rule on each term gives \(\displaystyle F(x) = \frac{7 x^{5}}{5} + \frac{3 x^{4}}{2} + \frac{2 x^{3}}{3} - x^{2} - x + C\)

Download \(\LaTeX\)

\begin{question}Find the anti-derivative of $f(x) = 7 x^{4} + 6 x^{3} + 2 x^{2} - 2 x - 1$. 
    \soln{4cm}{Using the power rule on each term gives $F(x) = \frac{7 x^{5}}{5} + \frac{3 x^{4}}{2} + \frac{2 x^{3}}{3} - x^{2} - x + C$}

\end{question}

Download Question and Solution Environment\(\LaTeX\)

\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}

\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}

\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}

\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue

\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

\end{question}\end{document}

Find the anti-derivative of <img class="equation_image" title=" \displaystyle f(x) = 7 x^{4} + 6 x^{3} + 2 x^{2} - 2 x - 1 " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%20%3D%207%20x%5E%7B4%7D%20%2B%206%20x%5E%7B3%7D%20%2B%202%20x%5E%7B2%7D%20-%202%20x%20-%201%20" alt="LaTeX: \displaystyle f(x) = 7 x^{4} + 6 x^{3} + 2 x^{2} - 2 x - 1 " data-equation-content=" \displaystyle f(x) = 7 x^{4} + 6 x^{3} + 2 x^{2} - 2 x - 1 " /> .

Using the power rule on each term gives <img class="equation_image" title=" \displaystyle F(x) = \frac{7 x^{5}}{5} + \frac{3 x^{4}}{2} + \frac{2 x^{3}}{3} - x^{2} - x + C " src="/equation_images/%20%5Cdisplaystyle%20F%28x%29%20%3D%20%5Cfrac%7B7%20x%5E%7B5%7D%7D%7B5%7D%20%2B%20%5Cfrac%7B3%20x%5E%7B4%7D%7D%7B2%7D%20%2B%20%5Cfrac%7B2%20x%5E%7B3%7D%7D%7B3%7D%20-%20x%5E%7B2%7D%20-%20x%20%2B%20C%20" alt="LaTeX: \displaystyle F(x) = \frac{7 x^{5}}{5} + \frac{3 x^{4}}{2} + \frac{2 x^{3}}{3} - x^{2} - x + C " data-equation-content=" \displaystyle F(x) = \frac{7 x^{5}}{5} + \frac{3 x^{4}}{2} + \frac{2 x^{3}}{3} - x^{2} - x + C " />