If `int_(20)^(40)(sinx)/(sinx+sin(60+x))dx=k`, then the value of `(k)/(4)` is equal to

If int_(0)^(oo)(sinx)/(x)dx=k , then the value of int_(0)^(oo)(sin^(3)x)/(x)dx is equal to

If int_(0)^(oo)(sinx)/(x)dx=k , then the value of int_(0)^(oo)(sin^(3)x)/(x)dx is equal to

If int_(0)^(4pi)ln|13sinx+3sqrt3cosx|dx=kpiln7 , then the value of k is

If int_(0)^(4pi)ln|13sinx+3sqrt3cosx|dx=kpiln7 , then the value of k is

If the value of definite integral A=int_(0)^(10pi)[sinx]dx is equal to kpi , then the absolute value of k is equal to (where, [.] is the greatest integer function)

If the value of definite integral A=int_(0)^(10pi)[sinx]dx is equal to kpi , then the absolute value of k is equal to (where, [.] is the greatest integer function)

If the value of the integral I=int_((pi)/(4))^((pi)/(3))" max "(sinx, tanx)dx is equal to ln k, then the value of k^(2) is equal to

int_(pi//6)^(pi//3)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx=(k)/(4) , then the value of k equals

If the value of the integral I=int_((pi)/(4))^((pi)/(3))" max "(sinx, tanx)dx is equal to ln k, then the value of k^(2) is equa to