Considering four sub-intervals, the value of ₀¹ 1 1+x d x by Trapezoidal rule, is

Step-by-step solution

array c|l|l i & x _ i & y _ i = 1 1 + x _ i 0 & 0 & 1 1 & 0.25 & 0.8 2 & 0.5 & 0.67 3 & 0.75 & 0.571 4 & 1 & 0.5 array Trapezoidal rule gives aligned ₀¹ 1 1+x d x=& h 2 [y₀+2 (y₁+y₂+y₃ )+y₄ ] =& 1-0 2 4 [1+2(0.8+0.67 & =& 0.6977 aligned