InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
If `int_(0)^(pi) x f (sin x) dx = A int _(0)^(pi//2) f(sin x) dx ,` then A is equal to |
|
Answer» Correct Answer - B Let ` l = int _(0)^(pi) x f ( sin x) dx " "` …(i) ` = int _(0)^(pi) (pi-x) f[ sin (pi-x) ] dx ` ` rArr l = int _(0)^(pi) (pi-x) f(sin x) dx " "` ...(ii) ` 2l = int _(0)^(pi) pi f (sin x) dx = 2pi int _(0)^(pi//2) f(sin x) dx ` ` rArr l = pi int _(0)^(pi//2) pif(sin x) dx = 2pi int_(0)^(pi//2) f(sin x) dx ` ` rArr l = pi int_(0)^(pi//2) f(sin x) dx = A int_(0) ^(pi//2) f(sin x) dx ` ` :. A = pi` |
|