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\noindent
{\bf Math 125} \hfill {\bf Quiz 2} (20 minutes)  \hfill %date
\bigskip

\noindent
{\bf Name} \underbar{\hskip 2in} \hfill
{\bf Student number} \underbar{\hskip 1in} \hfill
{\bf Quiz section:} \underbar{\hskip .5in}

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\noindent{\it There are three problems in this quiz 
(the other one is on the back of this page), total of 20 points.
Write legibly and show your work fully.}

\vskip 0.2truein

\noindent {\bf 1} (5 points)  Find the derivative of
$\ds f(x)=\int_{x^2}^{e^{2x}} (\ln t + \sin t)\, dt$.

\vskip 3.5truein

\noindent {\bf 2} (5 points)  Evaluate the definite integral
$\ds\int_0^{\sqrt{\pi}\over 2} x \cos (x^2)\,dx$.

\vfill \eject


\noindent {\bf 3.}  Evaluate the indefinite integral.

\noindent (a) (5 points) $\ds\int x \sqrt{x+1}\, dx$;

\vskip 3.5truein

\noindent (b) (5 points)
$\ds\int {(1-x^2)^2\over \sqrt{x}}\, dx$.
%similar to #24 on page 417 (section 5.5)


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