The left, right, trapezoidal, and midpoint rule approximations were used to estimatesame number of subintervals were used in each case.nMn(a) Which rule produced which estimate?LnRn==||y1 k||y = f(x)smaller valuelarger value2(b) Between which two approximations does the true value ofX→2#f²f(x'2[²₁f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8679, 0.8631, and 0.9540, and thef(x) dx lie?

To solve this problem, we need to analyze the behavior of each numerical integration rule (left,…

The left, right, trapezoidal, and midpoint rule approximations were used to estimate =f²r f(x) dx, where f is the function whose graph is shown. The estimates were 0.7818, 0.8679, 0.8631, and 0.9540, and the same number of subintervals were used in each case. y = f(x) (a) Which rule produced which estimate? L = R₁ = T₁ = M smaller value larger value (b) Between which two approximations does the true value of of f²f(x) f(x) dx lie?