Using the Trapezoidal Rule with n = 4, the approximated value of $\int _ { \frac { 3 \pi } { 2 } } ^ { 2 \pi } \frac { \cos x } { x } d x,$ to three decimal places, is

A)0.173
B)0.248
C)0.557
D)0.627
E)0.718

Question

Using the Trapezoidal Rule with n = 4, the approximated value of $\int _ { \frac { 3 \pi } { 2 } } ^ { 2 \pi } \frac { \cos x } { x } d x,$ to three decimal places, is

A)0.173
B)0.248
C)0.557
D)0.627
E)0.718

Quizplus · Accepted Answer

The Trapezoidal Rule with n = 4 divides the interval $[\frac{3\pi}{2}, 2\pi]$ into 4 equal subintervals. Calculating the function values at these points and applying the trapezoidal formula gives an approximation of 0.173.

Using the Trapezoidal Rule with N = 4, the Approximated ∫3π22πcos⁡xxdx,\int _ { \frac { 3 \pi } { 2 } } ^ { 2 \pi } \frac { \cos x } { x } d x,∫23π​2π​xcosx​dx,

Using the Trapezoidal Rule with N = 4, the Approximated $\int _ { \frac { 3 \pi } { 2 } } ^ { 2 \pi } \frac { \cos x } { x } d x,$