MATH 1007 Lecture Notes - Lecture 12: Recap (Software)

• School: Carleton University
• Department: Mathematics
• Course: MATH 1007
• Professor: Ranjeeta Mallick

Document Summary

Recap - sigma notaion n i=1 a i=a1+a 2+ . an. N maximum term i=1 where we start (kind of like the x value we start at) ai what each term is n i=1 n i=1 n i=1. 24 i= i i =1 i=1 i=25+26+ 27 +75. Let f be a coninuous funcion deined on the interval [a,b] Let us divide the interval [a,b] into n sub intervals of length x = (b-a)/n (each litle division is x long) Set x0=a x1 = a + x x2 = a + 2 x xn = a + n x = b so xi = a + i x and i = 0, 1, 2, 3 n we choose a value for xi. * inside the interval [xi-1,xi] then the deinite integral of f from a to b is: f ( x ) dx= lim. ) x f ( x i b a n i=1 n .