# Math Help - Integration

1. ## Integration

Can anyone help me with this problem?

Integrate ln[(x^2)+2] dx

Can this be done by integration by parts?

2. Originally Posted by Csou090490
Can anyone help me with this problem?

Integrate ln[(x^2)+2] dx

Can this be done by integration by parts?
I can do the derivation but it is really long.

Just go here if you want the answer without the derivation.

3. Hello, Csou090490!

ln[x² + 2] dx

Can this be done by integration by parts? . Yes!
. . u .= .ln(x² + 2) . . . .dv .= .dx

. . . . . . . . .2x
. .du .= . -------- dx . . . .v .= .x
. . . . . . . x² + 2

. . . . . . . . . . . . . . . . . . . . . . .
We have: . x·ln(x² + 2) - 2
-------- dx
. . . . . . . . . . . . . . . . . . . . .x² + 2

. . . . . . . . . . . . . . . . . . . 2
Divide that fraction: .1 - --------
. . . . . . . . . . . . . . . . . .x² + 2

. . . and go for it!