Área de una región en el plano

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En cada problema haga lo siguiente: (<FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><I>a</I></FONT>) trace una figura que muestre la región, así como un elemento rectangular de área; (<FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><I>b</I></FONT>) exprese el área de la región como el límite de una suma de Riemann; (<FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><I>c</I></FONT>) determine el límite de la parte (<FONT SIZE="3" COLOR="#CC0033" FACE="Times New Roman" ><I>b</I></FONT>) evaluando una integral definida por el segundo teorema fundamental del cálculo:</div> <bR> <div> <A HREF="#1" TITLE="Área de una región en el plano"><U><IMG SRC="2102d8170.gif" border=0 width="216" height="23" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>                     <A HREF="#2" TITLE="Área de una región en el plano"><U><IMG SRC="2103cb190.gif" border=0 width="203" height="25" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#3" TITLE="Área de una región en el plano"><U><IMG SRC="2104e9270.gif" border=0 width="233" height="39" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>                 <A HREF="#4" TITLE="Área de una región en el plano"><U><IMG SRC="2105d8270.gif" border=0 width="216" height="39" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#5" TITLE="Área de una región en el plano"><U><IMG SRC="210680170.gif" border=0 width="128" height="23" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>                                           <A HREF="#6" TITLE="Área de una región en el plano"><U><IMG SRC="2107b4170.gif" border=0 width="180" height="23" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <A HREF="#7" TITLE="Área de una región en el plano"><U><IMG SRC="21088d170.gif" border=0 width="141" height="23" ALT="MathType 5.0 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