How should I approach this question?

[Guillaume_Larose]

Hey,


I'm not looking for any solutions here but rather I’m having difficulty figuring out how I should properly approach this question…

Using a Gaussian Quadrature of order 5 to approximate

Integrate[4/(x-1), {x,2,6}]

Thank you for any and all help!
Gui

 

[Steven G]

Gui,
Why not just let u = x-1, so du =dx and then integrate?

 

[BigBeachBanana]

Gui,
Why not just let u = x-1, so du =dx and then integrate?

He's not asking how to integrate, but to approximate it...

Using a Gaussian Quadrature of order 5 to approximate

 

[BigBeachBanana]

Hey,


I'm not looking for any solutions here but rather I’m having difficulty figuring out how I should properly approach this question…

Using a Gaussian Quadrature of order 5 to approximate

Integrate[4/(x-1), {x,2,6}]View attachment 33774

Thank you for any and all help!
Gui

I'm not familiar with the method at all, but after a quick Wiki search:


Not terrible to carry out which some sort of software/code.

 

[Guillaume_Larose]

@Subhotosh Khan
Once again you removed your post.
I did read that the OP wanted to approximate the integral. It being a simple integral I suggested that s/he just makes a simple substitution

Hey Steven,

Yes, I suppose you could simply solve the integral first but I’m more looking for the “proper” way to handle this question should I get it asked with a more difficult integral.

Thank you for all your help
Gui