Saved Bookmarks
| 1. |
Integrate the following functions x (logx)^2 |
|
Answer» SOLUTION :`int X(logx)^2 DX` =`(logx)^2 x^2/2 -int 2 logx XX 1/x xx x^2/2 dx` =`x^2/2 (logx)^2 - int x logx dx` =`x^2/2 (logx)^2-[logx xx x^2/2-int 1/x x^2/2 dx]` =`x^2/2 (logx)^2-x^2/2 (logx) +1/2 x^2/2 +c` =`x^2/2 (logx)^2 - x^2/2 (logx)+x^4/4 +c` |
|