\indexentry{Calculus}{5} \indexentry{(signed) area between the graph}{7} \indexentry{definite integral}{8} \indexentry{anti-derivative}{10} \indexentry{velocity}{11} \indexentry{displacement}{11} \indexentry{total distance traveled}{12} \indexentry{power rule}{12} \indexentry{chain rule}{12} \indexentry{incredibly brilliant}{13} \indexentry{odd function}{14} \indexentry{even function}{14} \indexentry{Riemann sum}{17} \indexentry{done its job}{18} \indexentry{average value}{23} \indexentry{polar graph}{26} \indexentry{polar form}{30} \indexentry{complex exponentials}{41} \indexentry{complete the square}{46} \indexentry{multiplicity of a zero}{48} \indexentry{rational function}{49} \indexentry{pole}{49} \indexentry{left endpoints}{53} \indexentry{rightpoints}{54} \indexentry{midpoints}{54} \indexentry{trapezoid approximation}{54} \indexentry{Simpson's approximation}{54} \indexentry{sequence}{63} \indexentry{$n$th term}{63} \indexentry{sequence converges}{64} \indexentry{sum of the series}{65} \indexentry{diverges}{65} \indexentry{geometric series}{65} \indexentry{Riemann zeta function}{66} \indexentry{Riemann Hypothesis}{66} \indexentry{Euler product}{66} \indexentry{harmonic series}{69} \indexentry{converges absolutely}{72} \indexentry{common ratio}{72} \indexentry{power series}{75} \indexentry{power series centered at}{76} \indexentry{radius of convergence}{77} \indexentry{interval of convergence}{77}