Let f(x)=In`[cos|x|+(1)/(2)]` where [.] denotes the greatest integer function, then `int_(x_(1))^
Channel: Doubtnut
Date: 2020-05-24

Let f(x)=In`[cos|x|+(1)/(2)]` where [.] denotes the greatest integer function, then `int_(x_(1))^(x_(2)) lim_(nto oo)(({f(x)}^(n))/(x^(2)+tan^(2)x))dx` is equal to, where `x_(1),x_(2) in [(-pi)/(6),(pi)/(6)]`