Mapping integration points and weights

To see that this is correct by inserting the the value of $x_i=-1$ (the lower end of the interval $[-1,1]$) into the expression for $\tilde{x}_i$. That gives $\tilde{x}_i=0$, the lower end of the interval $[0,\infty)$. For $x_i=1$, we obtain $\tilde{x}_i=\infty$. To check that the new weights are correct, recall that the weights should correspond to the derivative of the mesh points. Try to convince yourself that the above expression fulfills this condition.

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