Solve ∫dxsin4x+cos4x\int \frac{dx}{\sin^4 x + \cos^4 x}∫sin4x+cos4xdx.
12arctan(tanx−cotx2)+C\frac{1}{\sqrt{2}} \arctan(\frac{\tan x - \cot x}{\sqrt{2}}) + C21arctan(2tanx−cotx)+C
12tan(2x)+C\frac{1}{2} \tan(2x) + C21tan(2x)+C
12arctan(tanx)+C\frac{1}{\sqrt{2}} \arctan(\tan x) + C21arctan(tanx)+C
2arctan(tanx2)+C\sqrt{2} \arctan(\frac{\tan x}{\sqrt{2}}) + C2arctan(2tanx)+C