let-g-x-arcatan-1-x-ln-1-2x-1-find-g-n-x-and-g-n-0-2-developp-f-at-integr-serie-3-calculate-1-4-1-4-g-x-dx-

Question Number 106134 by mathmax by abdo last updated on 03/Aug/20

let g (x) = arcatan (1 + x) \ln (1 - 2 x)

1) find g^{(n)} (x) and g^{(n)} (0)

2) developp f at integr serie

3 / calculate \int_{- \frac{1}{4}}^{\frac{1}{4}} g (x) dx