Question

Use the midpoint rule to calculate the absolute error of (8x? + 6) dx using 3 subintervals. Enter an exact value. Do not enter the answer as a percent. Provide your answer below:

Answer 1

Here, wr So Each o entegnal is geress by, } (88e²+6) de . e, we have to use the midpoint rule, ustry . three subinfernals. Each sub internal has length sx = =1. Therefore, the subenternal consist of, [0,1],[1,2] and [2,3]. The midpoints of these subinternals are, & ex li { ² 3 3 2 } . Thus, (8x2+6) dze 1. %() +1.7(3) +1.319). whene, 360) = 8m2 +6. = 148 )+63+1.4 8. (C)+6} +1896? = $*4 +6 + š x , +6 + 8x , +6. = g + 6 +18 +6 +50 + 6 = 88 . The exact nalue Now, p5 (942+0) 4z = [ok + 6270 =(320")+6(8-0) 58.27+18 = 02 +18 72 +18 : = 90.

18o The absolute emon in this approximation is,'90-88) 25. a