\documentclass[a4j, 12pt]{jarticle}

\usepackage{amsmath}
\usepackage{amssymb}

%---------------------Page Format----------------------
\oddsidemargin=0truecm
\textwidth=16truecm
%---------------------------------------------------------------
\def\l{\lambda}
\def\e{\varepsilon}

\newcommand{\al}{{\alpha}}
\newcommand{\bt}{{\beta}}

\newcommand{\C}{{\mathbb C}}
\newcommand{\R}{{\mathbb R}}
\newcommand{\Q}{{\mathbb Q}}
\newcommand{\Z}{{\mathbb Z}}
\newcommand{\N}{{\mathbb N}}
\newcounter{nombre} 
\renewcommand{\thenombre}{\arabic{nombre}}
\newcommand{\prob}{\refstepcounter{nombre}{%
\bigskip\noindent{\bf [\thenombre]\ }}}


\setcounter{nombre}{0}
\begin{document}
\begin{center}
{\large ���wI���K�@��P�P��@2007�N11��27���z�z} 

\smallskip

�S�� ���n����CTA �O�p �~
\end{center}

\smallskip
{\small

���K����
{\tt http://www.ms.u-tokyo.ac.jp/$\sim$hirachi/courses/sugaku-I-2007/}
����_�E�����[�h�ł��܂��D�u�`�������ڂ��Ă��܂��D
}


\bigskip

{\bf ���.}
���̔����ϕ��̏�������������
$\displaystyle{\int_0^1dx\int_{x^3}^{x^2}f(x,y)dy}$.
\bigskip

{\small
�ȉ��̖����ł���͈͂ŉ���, 12��4��13���܂łɃA�h�~�j�X�g���[�V�������̃��|�[�g��o�{�b�N�X�ɒ�o���邱��. 
}

\bigskip

\prob �ȉ��̏d�ϕ����v�Z����

\medskip

(a) 
$\displaystyle{\iint_D(x+y)dxdy}$, $D$��$x=y$, $x=y^2$�ň͂܂ꂽ�̈�

\medskip

(b)
$\displaystyle{\iint_{\{x^2+y^2\le 1\}}|x|dxdy}$

\medskip

(c)
$\displaystyle{\iint_De^{y/x}dxdy}$, $D$�͂R�_$(0,0), (1,0),(1,1)$�𒸓_�Ƃ���O�p�`



\prob �ȉ��̔����ϕ��̏�������������

\medskip

(a) 
$\displaystyle{\int_0^1dx\int_x^{2x}f(x,y)dy}$

\medskip

(b)
$\displaystyle{\int_0^1dy\int_{-\sqrt{1-y^2}}^{1-y}f(x,y)dxdy}$

\medskip

\prob $xy$���ʓ��̖ʐς����̈�$D$�ɂ�������$xyz$��ԓ��̐�
$$V=\{((1-t)x,(1-t)y,ht)\in\mathbb{R}^3: (x,y)\in D, t\in[0,1]\}$$
���l����B$V$�̑̐ς���$D$�̖ʐςƍ���$h$��p���ĕ\���B


\end{document}