Applying Gauss Quadrature to the Falling Parachutist Problem,We used the multiple-application...

Question

Applying Gauss Quadrature to the Falling Parachutist Problem,

We used the multiple-application trapezoidal rule to evaluate

where g = 9.8, c = 12.5, and m = 68.1. The exact value of the integral was determined by calculus to be XXXXXXXXXXRecall that the best estimate obtained using a 500-segment trapezoidal rule was XXXXXXXXXXwith an ^εt | ≅ 1.15 × 10−4 percent. Repeat this computation using Gauss quadrature.

Example:

(E21.3.1)

David · Accepted Answer

Solution 
After modifying the function, the following results are obtained: 
 Two-point estimate   = 290.0145 
 Three-point estimate = 289.4393 
 Four-point estimate   = 289.4352 
 Five-point estimate    = 289.4351 
 Six-point estimate      = 289.4351 
Thus,

Applying Gauss Quadrature to the Falling Parachutist Problem, We used the multiple-application trapezoidal rule to evaluate where g = 9.8, c = 12.5, and m = 68.1. The exact value of the integral was...

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