Integrating Data with the Trapezoidal Rule on the HP 50g Calculator

  • Thread starter marcio
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In summary, the conversation is about someone asking for help with integrating data using numerical methods on an HP 50g calculator. The person initially asks if the calculator can perform the task, but is not able to find the answer in the manual. They then share their attempt at solving the problem and ask for help in finding the error. Eventually, they figure out the issue and the conversation concludes with the problem being solved.
  • #1
marcio
33
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Dear friends

Does the HP 50g integrate data (x,y) using numerical methods such as the trapezoidal rule?

Many thanks
 
Last edited:
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  • #2
Look in the manual that came with it.
 
  • #3
I already have. Did not help much. I have both manuals, none of them mention integration of data that I could use.
 
  • #4
Alright...I have been studying... and did this, but it is not working...Could you help me out finding the problem here?

M([X; Y]) is a matrix on the stack. So, based on the trapezoidal rule, I need to compute:

sum of (Xb-Xa)*(Yb+Ya) then divide it by 2.

<< -> M
______<< M SIZE OBJ-> DROP DROP 'p'
____________<< 0 'A' STO
_________________2 p FOR i
_______________________A 'ABS((M(i,1)-M(i-1,1))*(M(i,2)+M(i-1,2)))' EVAL + 'A' STO
_________________NEXT
_________________A 2 / "Area" -> TAG
_____________>>
______>>
>>

Any help will be very much appreciated.
 
Last edited:
  • #5
Alright, problem solved.
 

FAQ: Integrating Data with the Trapezoidal Rule on the HP 50g Calculator

What is the Trapezoidal rule on HP 50g?

The Trapezoidal rule on HP 50g is a numerical integration method used to approximate the area under a curve by dividing it into trapezoids and summing their areas. It is a useful tool for solving complex integrals that cannot be solved analytically.

How do I use the Trapezoidal rule on HP 50g?

To use the Trapezoidal rule on HP 50g, you will need to input the function and the interval of integration. The calculator will then approximate the integral using the trapezoidal method and display the result.

3. What are the advantages of using the Trapezoidal rule on HP 50g?

The Trapezoidal rule on HP 50g is a quick and accurate method for approximating integrals. It is also easy to use and can handle a wide range of functions, making it a versatile tool for scientific and mathematical calculations.

4. Are there any limitations to using the Trapezoidal rule on HP 50g?

Like any numerical method, the Trapezoidal rule on HP 50g has its limitations. It may not provide an exact solution for complex integrals, and the accuracy of the approximation depends on the number of trapezoids used. It is also important to check the error bound to ensure the accuracy of the result.

5. Can the Trapezoidal rule on HP 50g be used for multiple integrals?

Yes, the Trapezoidal rule on HP 50g can be used for multiple integrals by using a nested loop to approximate each integral separately. However, this method may be time-consuming and may not be the most efficient way to solve multiple integrals.

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