Saved Bookmarks
| 1. |
Integrate the following functions x tan^-1x |
|
Answer» SOLUTION :`int x tan^-1x DX` =`tan^-1x xx x^2/2 - int 1/(1+x^2) x^2/2 dx` =`x^2/2 tan^-1 x- 1/2 int (1+x^2-1)/(1+x^2) dx` `x^2/2 tan^-1 x-1/2 int (1-1/(1+x^2)) dx` =`x^2/2 tan^-1 x- 1/2(x-tan^-1 x)+C` =`x^2/2 tan^-1 -x/2 +1/2 tan^-1 x+c` |
|