Question

Question Part Points Submissions Used 1 2 3 0/1 –/1 –/1 1/15 0/15 0/15 Total 0/3 Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n. (Round your answers to six decimal places.) 4 e2√t sin(4t) dt, n = 8

Answer 1

Qua TAShezoila Rule.- AN- ket (1-472 hore h h Thesefore At = 4.0 = ! Divide hs bihtcavd wi ow chA 3 aso Gunchin Now, we ELt. la): 26 (10 e^sin (4)- -1- 1841 a 19 728 SIn (10) = -as. Fo43 83.S%o13 ebjeo bh8g hE- = (ci) u,J 6LA)96(3)- 83.543r066s7es e sin ) -s.71597g4753191 Al::. Finics o . 480 3339 70 63 4 t (-. 1S410 21 872 t 83.S43o Lrvs" 4.7842027 241 S875 7. 754203 Ar

Mid hoiht Raule: Cot ) It stalc kat uy b-a At Hse ao, b- 4, h-s 4-0 ! Dvie Intoono Le,] nto wik enl hit Nou w (3= in (2) - 0.71 76 433 6 1 63 efin :3.3 1735538 17 ('Y+r ]9 C ¥s eto bi85l.Fo 'b-(£) S15t 6 (O} + f& )) = 6 (4) : c°sina)= 3-272631s19p1 el tytr 6IArt e ISo782bS4y 2 34 1S40 7 8 3 g IMMu

imoh Rue:- 914le 1Cat 4-0 Div ne h htesv& azo NO, 4-46067 1eu, 96 1 3 6 ) = -1.945 24 7 5151407 4 (2)4 4E3 (?) - 167- oi to13314119 46() Asues'