Jump to content



Photo
- - - - -

Graph of Integral


  • Please log in to reply
9 replies to this topic

#1 Satoshi

Satoshi

    Newbie

  • Members
  • Pip
  • 10 posts

  • Calculators:
    CFX 9860GII SD

Posted 16 January 2018 - 04:23 PM

​I wanted to graph gamma function (integral from 0 to infinity, but 0 to 100 is still accurate, of t^(X-1)*e^-t dt), but i cannot do 'dt', only 'dx', and when I use dx, the program do not know what is the part of integral, and what is the argument of  function.



#2 piu58

piu58

    Casio Fan

  • Members
  • PipPip
  • 47 posts
  • Gender:Male

  • Calculators:
    Casio fx-9860G

Posted 16 January 2018 - 07:06 PM

You have to use x for the integration variable and rewrite the function in x: x^(Z-1)*e^-x dx



#3 Satoshi

Satoshi

    Newbie

  • Members
  • Pip
  • 10 posts

  • Calculators:
    CFX 9860GII SD

Posted 17 January 2018 - 08:09 AM

You have to use x for the integration variable and rewrite the function in x: x^(Z-1)*e^-x dx

 

Z is treated as a variable, not as an argument of a function. Is there a way to set up Z as an argument?



#4 piu58

piu58

    Casio Fan

  • Members
  • PipPip
  • 47 posts
  • Gender:Male

  • Calculators:
    Casio fx-9860G

Posted 17 January 2018 - 01:28 PM

You cannot have x AND z als Argument.



#5 Satoshi

Satoshi

    Newbie

  • Members
  • Pip
  • 10 posts

  • Calculators:
    CFX 9860GII SD

Posted 17 January 2018 - 05:58 PM

You cannot have x AND z als Argument.


So what do i have to do to set only Z as an argument, so it no longer will be treated as a number (stored in variable Z)
So what do i have to do to set only Z as an argument, so it no longer will be treated as a number (stored in variable Z)

#6 piu58

piu58

    Casio Fan

  • Members
  • PipPip
  • 47 posts
  • Gender:Male

  • Calculators:
    Casio fx-9860G

Posted 17 January 2018 - 06:47 PM

I don't know whether we speak about the same thing, but I wrote a program for calculation of the gamma function

Goto I
Lbl A
?->Z
0->S:1->P
For 0->N To 6
S+List 1[N+1]Z^N->S
P(Z+N)->P
Next
(S/P)((Z+5.5)^(Z+.5)e^(-(Z+5.5))
Stop
Lbl I
7->Dim List 1
75122.6331530->List 1[1]
80916.6278952->List 1[2]
36308.2951477->List 1[3]
8687.24529705->List 1[4]
1168.92649479->List 1[5]
83.8676043424->List 1[6]
2.50662827511->List 1[7]
Goto A


#7 piu58

piu58

    Casio Fan

  • Members
  • PipPip
  • 47 posts
  • Gender:Male

  • Calculators:
    Casio fx-9860G

Posted 18 January 2018 - 07:58 AM

The integral gives you a result for  a single value of z. If you want to have a graph of all z, you need to solve the integral for every z independently. Or you use the approach I gave. 



#8 piu58

piu58

    Casio Fan

  • Members
  • PipPip
  • 47 posts
  • Gender:Male

  • Calculators:
    Casio fx-9860G

Posted 18 January 2018 - 11:41 AM

I compared my program with the implemented intergal function. Some examples:

My program :

Z=0.5 G(Z)=1.772453851

Z=2.7 G(Z)=1.544685846

Z=4.1 G(Z)= 6.812622863

 

In Math Mode

999
´
|    Z-1  -X
| X      e    dx
|
,
0

0.5 G(Z)=1.772453679 (runs around 5 seconds)

2.7 G(Z)=1.544685843

4.1 G(Z)=6.812622865



#9 Satoshi

Satoshi

    Newbie

  • Members
  • Pip
  • 10 posts

  • Calculators:
    CFX 9860GII SD

Posted 18 January 2018 - 10:34 PM

I just want to know how to graph of a function with integral in it. Not only the gamma function. But how can i put an argument in the integral if it cannot be X

#10 piu58

piu58

    Casio Fan

  • Members
  • PipPip
  • 47 posts
  • Gender:Male

  • Calculators:
    Casio fx-9860G

Posted 19 January 2018 - 05:04 AM

No way. You may use my litttle program, make loop in Z around it end a plot line in it.






0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users