Let f(0)=1, f(0.5)= 5 4 , f(1)=2, f(1.5)= 13 4 and f(2)=5 . Using Simpson's rule, ₀^2 f(x) d x is equal to

Step-by-step solution

aligned & h= b-a n & h= 2-0 4 =0.5 aligned Simpson's rule, aligned _a^b f(x) d x= & h 3 [ (y₀+y₄ )+4 (y₁+y₃ )+2 (y₂ ) ] & = 0.5 3 [(1+5)+4 ( 5 4 + 13 4 )+2(2) ] & = 0.5 3 [6+18+4]= 14 3 aligned