\contentsline {section}{\numberline {1}Integrali indefiniti}{1}{section.1}
\contentsline {subsection}{\numberline {1.1}Derivate notevoli}{1}{subsection.1.1}
\contentsline {subsubsection}{\numberline {1.1.1}Integrali indefiniti immediati}{1}{subsubsection.1.1.1}
\contentsline {subsubsection}{\numberline {1.1.2}Integrali indefiniti vari}{2}{subsubsection.1.1.2}
\contentsline {subsection}{\numberline {1.2}Integrazione per decomposizione}{2}{subsection.1.2}
\contentsline {subsection}{\numberline {1.3}Integrazione per sostituzione}{3}{subsection.1.3}
\contentsline {subsection}{\numberline {1.4}Integrali razionali}{4}{subsection.1.4}
\contentsline {subsection}{\numberline {1.5}Integrali irrazionali}{7}{subsection.1.5}
\contentsline {subsection}{\numberline {1.6}Integrali vari}{9}{subsection.1.6}
\contentsline {section}{\numberline {2}Serie numeriche}{10}{section.2}
\contentsline {subsection}{\numberline {2.1}Assoluta convergenza}{10}{subsection.2.1}
\contentsline {subsection}{\numberline {2.2}Serie armonica}{11}{subsection.2.2}
\contentsline {subsection}{\numberline {2.3}Serie di Mengoli}{12}{subsection.2.3}
\contentsline {subsection}{\numberline {2.4}Serie geometrica}{12}{subsection.2.4}
\contentsline {subsection}{\numberline {2.5}Serie armonica generalizzata}{13}{subsection.2.5}
\contentsline {subsection}{\numberline {2.6}Serie resto}{14}{subsection.2.6}
\contentsline {subsection}{\numberline {2.7}Criteri di convergenza}{15}{subsection.2.7}
\contentsline {subsection}{\numberline {2.8}Serie somma}{16}{subsection.2.8}
\contentsline {subsection}{\numberline {2.9}Serie a termini non negativi}{16}{subsection.2.9}
\contentsline {subsection}{\numberline {2.10}Criterio del confronto}{17}{subsection.2.10}
\contentsline {subsection}{\numberline {2.11}Criterio del rapporto}{17}{subsection.2.11}
\contentsline {subsection}{\numberline {2.12}Criterio della radice}{19}{subsection.2.12}
\contentsline {subsection}{\numberline {2.13}Criterio di Raabe}{20}{subsection.2.13}
\contentsline {subsection}{\numberline {2.14}Criterio di Abel}{21}{subsection.2.14}
\contentsline {subsection}{\numberline {2.15}Criterio del rapporto migliorato}{21}{subsection.2.15}
\contentsline {subsection}{\numberline {2.16}Criterio del confronto del limite}{22}{subsection.2.16}
\contentsline {subsection}{\numberline {2.17}Criterio dell'integrale}{22}{subsection.2.17}
\contentsline {subsection}{\numberline {2.18}Serie commutativa}{22}{subsection.2.18}
\contentsline {subsection}{\numberline {2.19}Serie associativa}{23}{subsection.2.19}
\contentsline {subsection}{\numberline {2.20}Serie a segni alterni}{24}{subsection.2.20}
\contentsline {subsection}{\numberline {2.21}Costante di Eulero-Mascheroni}{28}{subsection.2.21}
\contentsline {subsection}{\numberline {2.22}Serie prodotto}{29}{subsection.2.22}
\contentsline {subsection}{\numberline {2.23}Serie telescopica}{31}{subsection.2.23}
\contentsline {subsection}{\numberline {2.24}Taylor e Mac-Laurin}{31}{subsection.2.24}
\contentsline {subsection}{\numberline {2.25}Irrazionalita' di $e$}{34}{subsection.2.25}
\contentsline {subsection}{\numberline {2.26}Formulario}{36}{subsection.2.26}
\contentsline {section}{\numberline {3}Spazi metrici}{37}{section.3}