________ / 3 \/ x + x ------------- __________ / 2 \/ (x - 1)
sqrt(x^3 + x)/sqrt((x - 1)^2)
2 1 3*x ________ - + ---- / 3 2 2 \/ x + x *(-1 + x) ------------------- - -------------------- ________ 2 / 3 (x - 1) *|x - 1| \/ x + x *|x - 1|
2 / 2\ ___ \1 + 3*x / ________ 12*\/ x - ------------- ___ / 2 / 1 sign(-1 + x)\ 3/2 / 2\ \/ x *\/ 1 + x *|-------- + ------------| 2 x *\1 + x / \|-1 + x| -1 + x / 1 + 3*x ------------------------ + ------------------------------------------- - ----------------------------------- ________ 2 ________ / 2 (-1 + x) ___ / 2 4*\/ 1 + x *|-1 + x| \/ x *\/ 1 + x *(-1 + x)*|-1 + x|
/ 3 \ / 2 \ | / 2\ / 2\ | | / 2\ | | 12*\1 + 3*x / \1 + 3*x / | ________ | ___ \1 + 3*x / | 3*|8 - ------------- + ------------| ___ / 2 / 1 2*sign(-1 + x)\ 3*|12*\/ x - -------------| | 2 2| / 2\ / 1 sign(-1 + x)\ 2*\/ x *\/ 1 + x *|-------- - DiracDelta(-1 + x) + --------------| | 3/2 / 2\| | 1 + x 2 / 2\ | 3*\1 + 3*x /*|-------- + ------------| \|-1 + x| -1 + x / \ x *\1 + x // \ x *\1 + x / / \|-1 + x| -1 + x / - -------------------------------------------------------------------- - ------------------------------- + ------------------------------------ + -------------------------------------- 3 ________ ________ ________ (-1 + x) / 2 ___ / 2 ___ / 2 2 4*\/ 1 + x *(-1 + x)*|-1 + x| 8*\/ x *\/ 1 + x *|-1 + x| 2*\/ x *\/ 1 + x *(-1 + x)