Using the Trapezoidal Rule with n = 4, the approximated value of $\int _ { 0 } ^ { 2 } e ^ { - \frac { x ^ { 2 } } { 2 } } d x,$ to three decimal places, is

A)0.161
B)0.880
C)1.191
D)0.149
E)1.173

Question

Using the Trapezoidal Rule with n = 4, the approximated value of $\int _ { 0 } ^ { 2 } e ^ { - \frac { x ^ { 2 } } { 2 } } d x,$ to three decimal places, is

A)0.161
B)0.880
C)1.191
D)0.149
E)1.173

Quizplus · Accepted Answer

The Trapezoidal Rule with n = 4 divides the interval [0, 2] into 4 equal subintervals. Calculating the function values at these points and applying the trapezoidal formula gives an approximation of 1.191.

Using the Trapezoidal Rule with N = 4, the Approximated ∫02e−x22dx,\int _ { 0 } ^ { 2 } e ^ { - \frac { x ^ { 2 } } { 2 } } d x,∫02​e−2x2​dx,

Using the Trapezoidal Rule with N = 4, the Approximated $\int _ { 0 } ^ { 2 } e ^ { - \frac { x ^ { 2 } } { 2 } } d x,$