If `sinx+xge|k|x^(2), AA x in [0,(pi)/(2)]`, then the greatest value of k is

If int_(0)^(k)(dx)/(2+18x^(2))=(pi)/(24) , then the value of k is

If int_(0)^(npi) f(cos^(2)x)dx=k int_(0)^(pi) f(cos^(2)x)dx , then the value of k, is

If the area bounded by y=x, y=sinx and x=(pi)/(2) is ((pi^(2))/(k)-1) sq. units then the value of k is equal to

The sum of the roots of the equation |sqrt3cos x-sinx|=2" in "[0, 4pi] is kpi , then the value of 6k is

For f(x)=(k cos x)/(pi-2x), if x!=(pi)/(2),3, if x=(pi)/(2) then find the value of k so that f is continous at x=(pi)/(2)

If int_(0) ^(k) (dx)/(2+18 x^(2))=(pi)/(24), then the value of k is

If the value of the integral I=int_(0)^(1)(dx)/(x+sqrt(1-x^(2))) is equal to (pi)/(k) , then the value of k is equal to

If x_i gt 0 for 1leilen and x_1+x_2+x_3+…+x_n=pi then the greatest value of the sum sinx_1+sinx_2+sinx_3+…+sin_n=… (A) n (B) pi (C) nsin\ pi/n (D) none of these