Evaluate the following integrals: (i) `int((1-cosx)/(1+cosx))dx` (ii) `int((1+cosx)/(1-cosx))dx`

Correct Answer - (i) `(1)/(2)x-(1)/(4)sin2x+C` (ii) `(1)/(2)x+(1)/(4)sin2x+C`

Correct Answer - (i) `(1)/(2)x+(1)/(2)sinx+C` (ii) `-2cot(x//2)-x+C`

Correct Answer - (i) `(1)/(2)x-(sin2nx)/(4n)+C` (ii) `-cosx-(cos^(5)x)/(5)+(2cos^(3))/(3)+C`

Correct Answer - `(1)/(3)sin(3x+5)-(1)/(9)sin^(3)(3x+5)+C`

Correct Answer - `(1)/(2)cos(3-2x)-(1)/(14)cos^(7)(3-2x)-(1)/(2)cos^(3)(3-2x)+(3)/(10)cos^(5)(3-2x)+C`

Correct Answer - (i) `tanx-x+C` (ii) `-cotx-x+C`

Correct Answer - `xcosalpha-sin*log|cos(x+alpha)|+C`

Correct Answer - `(x^(1-n))/((1-n))*log|x|-(x^(1-n))/((1-n)^(2))+C`

Correct Answer - `(logx)[log(logx)-1]+C`

Correct Answer - `e^(x)sinx+C`