indefinite integral

[jon12]

Does this look right for this definite integral

? (x^2-1) / ?(2x-1) dx

subtitute 2x-1 = p ---> dp/dx = 2 ---> dp = 2 dx
x = (1/2)p + (1/2)
put dp into the integral

(1/2) ?(((1/2)p + (1/2))^2 - 1) / (?p) dp
(1/2) ? (1/4)p^(3/2) + (1/2)p^(1/2) - (3/4)p^(-1/2) dp
(1/2) ((1/10)p^(5/2) + (1/3)p^(3/2) - (3/2)p^(1/2) + c

 

[Deleted member 4993]

Does this look right for this indefinite integral

? (x^2-1) / ?(2x-1) dx

subtitute 2x-1 = p ---> dp/dx = 2 ---> dp = 2 dx
x = (1/2)p + (1/2)
put dp into the integral

(1/2) ?(((1/2)p + (1/2))^2 - 1) / (?p) dp
(1/2) ? (1/4)p^(3/2) + (1/2)p^(1/2) - (3/4)p^(-1/2) dp
(1/2) ((1/10)p^(5/2) + (1/3)p^(3/2) - (3/2)p^(1/2) + c

I have not worked through the problem - but I do not see any glaring mistake.