The value of the integral ₀^4 d x 1+x^2 obtained by using Trapezoidal rule with h=1 is

Step-by-step solution

Given integration is ₀^4 d x 1+x^2 and h=1 . By using Trapezoidal rule, aligned ₀^4 f(x) d x & = h 2 [ (y₀+y₄ )+2 (y₁+y₂+y₃ ) ] & = 1 2 [ (1+ 1 17 )+2 ( 1 2 + 1 5 + 1 10 ) ] & = 1 2 [ 18 17 +2 ( 5+2+1 10 ) ] aligned aligned & = 1 2 ( 18 17 + 8 5 )= 1 2 ( 90+136 85 ) & = 1 2 ( 226 85 )= 113 85 aligned