MATH 1132Q Lecture 5: MATH 1132Q , Lecture 5 , Section 7.7

• School: UConn
• Department: Mathematics
• Course: MATH 1132Q
• Professor: D. McArdle

Document Summary

Math 1132q , lecture 5 , section 7. 7. T n = x / 2 [ f(x 0 ) + 2f(x 1 ) + 2f(x 2 ) + + 2f(x n - 1) + f(x n ) ] M n = x [ f(x 1 ) + f(x 2 ) + f(x 3 )+ +f(x n ) ] where x = b - a/ n & x i = (x i-1 + x i ) Example : where x = b - a/ n on n subintervals. T 4 = 3/4 / 2 [ f( 2 ) + 2f( 11/4 ) + 2f( 17/4 ) + f( 5 ) ] = (ln( 2 ) + 2ln( 11/4 ) + 2ln( 17/4 ) + ln( 5 )) M 4 =3/4 [ f( 19/8 ) + f( 25/8 ) + f( 31/8 ) + f( 37/8 ) ]