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{\bf Problems for Chapter 7}
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\begin{enumerate}
\item Simplify $\frac{4x^2-3x+1}{x+2}$
\item ${\displaystyle \int} sin^3(x)cos^2(x) \;dx$
\item ${\displaystyle \int \frac{sin^2(x)}{1+cos(x)}\;dx}$
\item ${\displaystyle \int \frac{1+cos(x)}{sin^2(x)}\;dx}$
\item ${\displaystyle \int} x cos(2x)\;dx$
\item ${\displaystyle \int \frac{x^2}{\sqrt{4-x^2}}\;dx}$ using $x=2 sin(\theta)$.
\item ${\displaystyle \int \frac{x+1}{x(x^2+1)}\;dx}$ 
\item ${\displaystyle \lim_{x \rightarrow 1} \frac{ln(x)}{x^2-1}}$
\item ${\displaystyle \int_1^\infty \frac{1}{\sqrt{x}} \;dx}$
\item ${\displaystyle \int_0^1 \frac{1}{\sqrt{x}} \;dx}$
\end{enumerate}
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