- #1
paulfr
- 193
- 3
What am I doing wrong here ?
Tabular and Recursive Integration By Parts don't agree for the
Integral of [Ln x]^2 dx
Using Tabular Integration By Parts …………
..........1
[ Ln x ]^2 ........ x
2 (Ln x)( 1/x )......x^2 / 2
2 (1/x) (1/x) + 2Ln x (–1/x^2)...x^3 / 6
I get .....
x(Ln x)^2 – x Ln x + (1/3) x (1 – Ln x) = x(Ln x)^2 – (4/3)x Ln x + (1/3) x
But WolframAlpha gives ..
x(Ln x)^2 – 2x Ln x + 2x)
Thanks for any suggestions.
Tabular and Recursive Integration By Parts don't agree for the
Integral of [Ln x]^2 dx
Using Tabular Integration By Parts …………
..........1
[ Ln x ]^2 ........ x
2 (Ln x)( 1/x )......x^2 / 2
2 (1/x) (1/x) + 2Ln x (–1/x^2)...x^3 / 6
I get .....
x(Ln x)^2 – x Ln x + (1/3) x (1 – Ln x) = x(Ln x)^2 – (4/3)x Ln x + (1/3) x
But WolframAlpha gives ..
x(Ln x)^2 – 2x Ln x + 2x)
Thanks for any suggestions.