Saved Bookmarks
| 1. |
`int_(1//pi)^(2//pi)(sin(1//x))/(x^(2))dx=?`A. `1`B. `(1)/(2)`C. `(3)/(2)`D. none of these |
|
Answer» Put `(1)/(x)=t` and `(1)/(x^(2))dx=-dt`. `[x=(1)/(pi)impliest=pi]` and `[x=(2)/(pi)impliest=(pi)/(2)]` `:. I=-int_(pi)^(pi//2)sintdt=int_(pi//2)^(pi)sintdt=[-cost]_(pi//2)^(pi)=1`. |
|