(cos x)/(cos(x+alpha))

The value of int sqrt((1-cos x)/(cos alpha-cos x))dx where 0

The value of int sqrt((1-cos x)/(cos alpha-cos x))dx is

int dx/(cos x + cos alpha)

Let alpha be a real number such that 0<=alpha<=pi If f(x)=cos x+cos(x+alpha)+cos(x+2 alpha) takes some constant number c for any x in R , then the value of [c+alpha] is equal to (Note: [y] denotes greatest integer less than or equal to y.)

int(1+cos alpha cos x)/(cos alpha+cos x)dx

(cos2 x - cos2 alpha)/(cos x - cos alpha)

(cos2x-cos2 alpha)/(cos x-cos alpha)

(cos2x-cos2 alpha)/(cos x-cos alpha)