\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\providecommand\babel@aux[2]{}
\@nameuse{bbl@beforestart}
\providecommand \oddpage@label [2]{}
\babel@aux{english}{}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{3}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{4}{4/4}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{5}{5/5}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{6}{6/6}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{7}{7/7}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{8}{8/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{9}{9/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{10}{10/10}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{11}{11/11}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{12}{12/12}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{13}{13/13}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{14}{14/14}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{15}{15/15}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{16}{16/16}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{17}{17/17}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{18}{18/18}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{19}{19/19}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{20}{20/20}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{21}{21/21}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {21}{21}}}
\newlabel{fig1aa8a}{{22}{22}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig1aa8a}{22}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{22}{22/22}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{23}{23/23}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {23}{23}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{24}{24/24}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}
\newlabel{fig1}{{25}{25}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig1}{25}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{25}{25/25}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}}
\newlabel{fig34}{{26}{26}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig34}{26}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{26}{26/26}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {26}{26}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{27}{27/27}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{28}{28/28}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{29}{29/29}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{30}{30/30}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}}
\@writefile{snm}{\beamer@slide {rett}{31}}
\newlabel{rett}{{3}{31}{Regola del rettangolo}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{31}{31/31}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{32}{32/32}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {32}{32}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{33}{33/33}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {33}{33}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{34}{34/34}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {34}{34}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{35}{35/35}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {35}{35}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{36}{36/36}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {36}{36}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{37}{37/37}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {37}{37}}}
\citation{BRES}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{38}{38/38}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {38}{38}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{39}{39/39}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {39}{39}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{40}{40/40}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {40}{40}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{41}{41/41}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {41}{41}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{42}{42/42}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {42}{42}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{43}{43/43}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {43}{43}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{44}{44/44}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {44}{44}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{45}{45/45}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {45}{45}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{46}{46/46}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {46}{46}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{47}{47/47}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {47}{47}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{48}{48/48}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {48}{48}}}
\newlabel{tabexp1}{{49}{49}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tabexp1}{49}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{49}{49/49}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {49}{49}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{50}{50/50}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {50}{50}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{51}{51/51}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {51}{51}}}
\@writefile{snm}{\beamer@slide {composte}{52}}
\newlabel{composte}{{4}{52}{Formula composta}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{52}{52/52}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {52}{52}}}
\@writefile{snm}{\beamer@slide {rettcomp}{53}}
\newlabel{rettcomp}{{5}{53}{Formula composta del punto medio}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{53}{53/53}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {53}{53}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{54}{54/54}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {54}{54}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{55}{55/55}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {55}{55}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{56}{56/56}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {56}{56}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{57}{57/57}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {57}{57}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{58}{58/58}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {58}{58}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{59}{59/59}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {59}{59}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{60}{60/60}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {60}{60}}}
\citation{TREF}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{61}{61/61}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {61}{61}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{62}{62/62}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {62}{62}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{63}{63/63}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {63}{63}}}
\citation{TREF}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{64}{64/64}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {64}{64}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{65}{65/65}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {65}{65}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{66}{66/66}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {66}{66}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{67}{67/67}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {67}{67}}}
\@writefile{snm}{\beamer@slide {composte_sim}{68}}
\newlabel{composte_sim}{{9}{68}{Formula di Cavalieri-Simpson composta}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{68}{68/68}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {68}{68}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{69}{69/69}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {69}{69}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{70}{70/70}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {70}{70}}}
\newlabel{tabexp1}{{71}{71}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tabexp1}{71}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{71}{71/71}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {71}{71}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{72}{72/72}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {72}{72}}}
\newlabel{tab2}{{73}{73}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tab2}{73}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{73}{73/73}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {73}{73}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{74}{74/74}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {74}{74}}}
\newlabel{tabexp1}{{75}{75}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tabexp1}{75}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{75}{75/75}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {75}{75}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{76}{76/76}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {76}{76}}}
\newlabel{tab3}{{77}{77}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tab3}{77}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{77}{77/77}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {77}{77}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{78}{78/78}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {78}{78}}}
\newlabel{tab4}{{79}{79}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tab4}{79}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{79}{79/79}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {79}{79}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{80}{80/80}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {80}{80}}}
\newlabel{tab5}{{81}{81}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tab5}{81}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{81}{81/81}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {81}{81}}}
\citation{ATK}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{82}{82/82}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {82}{82}}}
\newlabel{tab6}{{83}{83}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tab6}{83}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{83}{83/83}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {83}{83}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{84}{84/84}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {84}{84}}}
\newlabel{tab7}{{85}{85}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tab7}{85}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{85}{85/85}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {85}{85}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{86}{86/86}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {86}{86}}}
\newlabel{tab8}{{87}{87}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {tab8}{87}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{87}{87/87}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {87}{87}}}
\bibcite{BRES}{\hyperlink {beamerbibBRES}{1}}
\bibcite{TREF}{\hyperlink {beamerbibTREF}{2}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{88}{88/88}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {88}{88}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{88}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{88}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{88}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {88}}}
\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {88}}}
\gdef \@abspage@last{88}