Question by Student 201627108 Professor, I have a question about a cubic spline. When we use the cubic spline, Why we assume the only third polynomial like that $$f(x) = ax^{3}+bx^{2}+cx^{1}+d$$ Can we use any different expression such as the exponential function with the natural constant, log function and etc... ?
 Question by Student 201627131 Professor, I think when we use simpson rule, we must use odd number. Because interval count N-1, and we bound two interval like $$Interval\,I_1 = Between\,i_1,i_2,i_3$$ So, We need even number interval(N-1), and N must odd number.
 Question by Student 201327139 Professor, in Ch.7 assignment Q.3, we have to find $\int_{x=0}^{x=2} e^{x^{2}} dx$ but, your question is ' in the interval $1< x < 2$'. I'm so confused.
I don't understand. The relative of $x$? What does this mean? The $x$ interval has been changed to $1\le x\le 2$ everywhere.
 $\pi$