InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
The value of the integral `overset(pi//4)underset(0)int sin^(-4)x dx`, isA. `-(8)/(3)`B. `(3)/(2)`C. `(8)/(3)`D. None of these |
|
Answer» Correct Answer - A Let ` l = int_(-pi//4)^(pi//4) sin^(-4) x dx = int _(-pi//4)^(pi//4) x^(4) dx` Put ` cot x = t rArr - 1^(2) x dx = dt` ` :. l = int_(-1)^(1) (1+t^(2)) dt = -2 int_(0)^(1) (1+ t^(2))dt` ` = - 2 [ t+(t^(3))/3]_(0)^(1) = - 2 [ 1+1/3] = - 8/3` |
|