tricolore Joined 1/18/08 Messages 8 Points 11 11/24/08 #1 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 Attachments Picture 1.png 37.3 KB · Views: 38
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 German Mathquant Joined 1/2/08 Messages 188 Points 28 11/25/08 #2 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}))
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}))