Question

- Sox using with 2,4, and equal o Evaluate the integral i) Composite trapezoidal rub, () composite simpsunds rule sub infortals. y Evaluate the integral Subdividing the interval parts and then applying three pant formula. I=s dx by to, i] into two equal the Gauss Legentre • Ttx i tx

Answer 1

sol? 8 Ir _ dre. kle have find this answer, by Trapezoidlelaule I finde = h. Yo + 2 [7,4Yzt type] => 27 Where NENI First we will find yi's using, Ya 1 . fa) Eyl 10.8 10.6667/6.574 0.5 Eli? o 1x 10/0.75 0.50 0.75 o n =5 = subinterual in By Trapezoidal cale, Here no ro nha 1 uit die = ($IE? Jo +2['Gis +0666.7 +05714] 605 = 0.4 (4.5763) = 0.45762 fi) By simpson's (1/3) dzule - om og du = h [ +4 14tYzt ante Yand +2 (Jy+44 + + Yout By Using two sub interval wa t IN 11.05 I ide - 20 11 thee = (1+0.5). 20:25 Here n=3 that By using a subinkevals. T7110.15 0.6 0.5 = 5 [1+2(075) n. 47h2414 = 0.475 +3 (0.6)405

. By using two subinterval answer is I 'SI ha de = 0.475 Now, By using 4 subintervals. Talot 44 2/4 3 1 1 na 5 = hata y 1 03 0.664|0:57|40.5 tar Yi Ya Ya Yee da - [1+4(0-8701574) +{(0.663] +0.5] = [1+ 5.4856+ 1.334 +0.5] 0.55464 By using 4 sub intervalo answer, Til dx = 0.55464 Itu Now by using 8 subin teaval. OJ y 10889/0.8 / 0733/0.667 10.815410.5714 0.5334 05 tolerer meg t e Has No 'ya 'ye 889 +0.73 +0.01544 6.5334) +3 (0.8+-657 +0-5714) 46.5 -ta [1+11.00+ 40763+0.5] = 0.61615 . By using 8 interval answer is 11 dn=0.61815) Note that As we increase interval answer will goes to accuracy.