Saved Bookmarks
| 1. |
Integrate the following functions 1/ sqrt((x-1) (x-2)) |
|
Answer» Solution :`(X-1)(x-2) = x^2-3x+2` =`x^2-3x+9/4 -9/4 +2` =`(x-3/2)^2 -1/4` therefore` INT 1/sqrt((x-1)(x-2)) dx` `int 1/sqrt((x-(3/2))^2-(1/2)^2) dx` =`log|x-3/2 + sqrt((x-(3/2))^2-(1/2)^2)|+c` =`log|x-3/2 + sqrt(x^2-3x+2)|+c` |
|