Expression 10: StartFraction, "h" Over 2 , EndFraction Start sum from "n" equals "a" to StartFraction, "b" minus "a" Over "h" , EndFraction , end sum, left parenthesis, "f" left parenthesis, "h" times "n" plus "a" , right parenthesis plus "f" left parenthesis, "h" times left parenthesis, "n" minus 1 , right parenthesis plus "a" , right parenthesis , right parenthesis equals 1.7 6 5 2 9 1 2 0 1 5 7h2b−ah∑n=afh·n+a+fh·n−1+a
equals=
1.7 6 5 2 9 1 2 0 1 5 71.76529120157
10
Integral for x > 0
11
Expression 12: "y" equals StartFraction, "h" Over 2 , EndFraction Start sum from "n" equals 0 to StartFraction, "x" Over "h" , EndFraction , end sum, left parenthesis, "f" left parenthesis, "h" times "n" , right parenthesis plus "f" left parenthesis, "h" times left parenthesis, "n" minus 1 , right parenthesis , right parenthesis , right parenthesis left brace, "a" less than or equal to "x" less than or equal to "b" , right brace left brace, "x" greater than or equal to 0 , right bracey=h2xh∑n=0fh·n+fh·n−1a≤x≤bx≥0
12
Integral for x < 0
13
Expression 14: "y" equals negative StartFraction, "h" Over 2 , EndFraction Start sum from "n" equals StartFraction, "x" Over "h" , EndFraction to 0, end sum, left parenthesis, "f" left parenthesis, "h" times "n" , right parenthesis plus "f" left parenthesis, "h" times left parenthesis, "n" minus 1 , right parenthesis , right parenthesis , right parenthesis left brace, "a" less than or equal to "x" less than or equal to "b" , right brace left brace, "x" less than or equal to 0 , right bracey=−h20∑n=xhfh·n+fh·n−1a≤x≤bx≤0
14
Actual Integral
15
Expression 16: Start integral from 0 to "x" , end integral, "f" left parenthesis, "u" , right parenthesis "d" "u"∫x0fudu