`int cos(x-alpha)dx`

int(cos alpha)/(sin x cos(x-alpha))dx=

Evaluate the following integrals: int cos^(2)alpha dx

Evaluate : int(cos(x-alpha))/(cosx)dx .

Let alpha be a fixed constant number such that 0< alpha < (pi)/(2) ,The function F is defined by , F(theta)=int_(0)^( theta)x cos(x+alpha)dx .If theta lies in the interval [0,(pi)/(2)] ,then the maximum value of F(theta) is

I= int_(0)^( pi)(x)/(1+sin x cos alpha)dx

int(cos(x+alpha))/cosx dx=

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

int(cos2x-cos2alpha)/(cosx-cosalpha)dx

Evaluate the following integrals: int(cosx)/(cos(x+alpha))dx

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