Gaussian Quadrature

[tricolore]

Folks,

Here's a question that I'm stuck on.

It's about gaussian quadrature.

I need to find which statement is true.

Attached is the png that ask the question.

Let me know if anybody has any ideas.

James

 

[Bastian Gross]

You have to choose answer b, because

(\int_{a}^{b}f(x)dx=\frac{b-a}{2}\int_{-1}^{1}f(\frac{b-a}{2}x + \frac{b-a}{2})dx=\frac{b-a}{2}\sum_{k=1}^{n}\omega_{k}f(\frac{b-a}{2}x_{k} + \frac{b-a}{2}))