`int 1/(4cosx-1) dx=`

Evaluate: int1/(4cosx-1)\ dx

int 1/(1+cosx) dx=

int 1/(1+cosx) dx

int (1)/(1+cosx)dx=

Evaluate: int1/(5+4cosx)\ dx

Evaluate: int1/(5+4cosx)\ dx

Evaluate: int1/(5-4cosx)\ dx

Evaluate the following integrals: int 1/(5-4cosx)dx

Evaluate: int1/(5+4cosx)dx

A: int (1)/(3+4cosx)dx=(1)/(sqrt(7))log|(sqrt(7)+tan(x//2))/(sqrt(7)-tan(x//2))|+c R : If a lt b then int(dx)/(a+b cosx)= (1)/(sqrt(b^(2)-a^(2)))log|(sqrt(b+a)+sqrt(b-a)tan(x//2))/(sqrt(b+a)-sqrt(b-a)tan(x//2))|+c