`(cos^2x+cosx+2)/(cos^2x+cosx+1)` find range.

(cos^(2)x+cos x+2)/(cos^(2)x+cos x+1) find range.

(1)/(cos3x-cosx)

int (cos2x)/(cosx) dx=

Evaluate int ((cosx - 2cos 2alpha)/(cosx - cos alpha)) dx .

int (cosx-cos2x)/(1-cosx) dx

Let f(x)=[(sin^2x,sinx,1),(sinx,1,sin^2x),(1,sin^2x,sinx)] and g(x)=[(cos^2x,cosx,1),(cosx,1,cos^2x),(1,cos^2x,cosx)]. If h(x)=Tr.(f(x)g(x)), then find the absolute value of the difference between maximum and minimum value of h(x). [Tr. (P) denotes the trace of Matrix P]

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

int ((cos 2x - cos 2 alpha))/((cosx -cos alpha)) dx = ?

int(1-cosx)cos^(2)x dx=

int_(0)^(pi//2)(sin x cos x dx)/(cos^(2)x+3cosx+2)=