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\noindent \hfill
\fbox{\fbox{\parbox{6.25in}{\scshape{Math 1030 \hfill Integral Practice}}}} \hfill \\


\begin{equation*} \begin{array}{rlrl} \vspace{0.75in}
1. & \int 3x^2-\frac{1}{x}+e^x-7\,dx & 
\qquad \qquad 
2. & \int \frac{\sqrt{x}}{x^3} + \frac{6+2x}{x^2}-50x^{99}\,dx \\ 
\vspace{1in}
3. & \int \,dx & 
\qquad \qquad 
4. & \int \frac{e^{5x}}{e^{2x}} - 8x^{7/3}\,dx \\ 
\vspace{1in}
5. & \int (x^2-5x+6)^{9}(2x-5)\,dx & 
\qquad \qquad 
6. & \int e^{6x-2}\,dx \\ 
\vspace{1in}
7. & \int \frac{x+3}{x^2+6x-7}\,dx & 
\qquad \qquad 
8. & \int \frac{e^{1/x}}{x^2}\,dx \\ 
\vspace{1in}
9. & \int \frac{\ln(x)}{x}\,dx & 
\qquad \qquad 
10. & \int e^{e^x}e^x\,dx \\ 
\vspace{1in}
\end{array} \end{equation*}

\vspace{-1in}

\noindent
Suppose a company's marginal profit is approximated by $MP(q) = 30q-5$ and we
know that they have a break even point when $q=10$. Approximate their profit
when $q=50$.

\vspace{1in}

\noindent
Find the antiderivative $f(x)$ of 
$g(x) = \displaystyle{\frac{500}{\sqrt{2x+1}}+6x^2+3}$ such that
$f(4)=10$.

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