ThePizzaGuy
New member
- Joined
- Feb 23, 2016
- Messages
- 1
I tried substitution u^2 = (x-1), and i tried u=(x-1). I know there's some stupid error I'm making but for the life of me I cannot figure it out
1)
u^2 = x+1
integral of x/sqrt(x-1) = integral of ((u^2)+1)/(u)
2)
integral of ((u^2)+1)/(u) = integral of u^2/u + integral of 1/u
3)
equals u^2/2 + ln(abs(sqrt(x-1)))+C
4)
compare to WolframAlpha answer of (2/3)(sqrt(x-1))(x+2)+C
I can't see what I'm doing wrong
1)
u^2 = x+1
integral of x/sqrt(x-1) = integral of ((u^2)+1)/(u)
2)
integral of ((u^2)+1)/(u) = integral of u^2/u + integral of 1/u
3)
equals u^2/2 + ln(abs(sqrt(x-1)))+C
4)
compare to WolframAlpha answer of (2/3)(sqrt(x-1))(x+2)+C
I can't see what I'm doing wrong