2*atan(2*x + 1) 2 - --------------- + -------------------------- 2 / 2\ (2*x - 1) \1 + (2*x + 1) /*(2*x - 1)
/atan(1 + 2*x) 1 1 + 2*x \ 8*|------------- - --------------------------- - -----------------| | 2 / 2\ 2| | (-1 + 2*x) \1 + (1 + 2*x) /*(-1 + 2*x) / 2\ | \ \1 + (1 + 2*x) / / ------------------------------------------------------------------- -1 + 2*x
/ 2 \ | 4*(1 + 2*x) | |-1 + -------------- | | 2 | | 1 + (1 + 2*x) 3*atan(1 + 2*x) 3 3*(1 + 2*x) | 16*|------------------- - --------------- + ---------------------------- + ----------------------------| | 2 3 / 2\ 2 2 | | / 2\ (-1 + 2*x) \1 + (1 + 2*x) /*(-1 + 2*x) / 2\ | \ \1 + (1 + 2*x) / \1 + (1 + 2*x) / *(-1 + 2*x)/ -------------------------------------------------------------------------------------------------------- -1 + 2*x