/ 2 \ / ___\ tan(2*x)
\2 + 2*tan (2*x)/*acos\\/ x / - -----------------
___ _______
2*\/ x *\/ 1 - x
$$\left(2 \tan^{2}{\left(2 x \right)} + 2\right) \operatorname{acos}{\left(\sqrt{x} \right)} - \frac{\tan{\left(2 x \right)}}{2 \sqrt{x} \sqrt{1 - x}}$$
/1 1 \
/ 2 \ |- + ------|*tan(2*x)
2*\1 + tan (2*x)/ / 2 \ / ___\ \x -1 + x/
- ----------------- + 8*\1 + tan (2*x)/*acos\\/ x /*tan(2*x) + ---------------------
___ _______ ___ _______
\/ x *\/ 1 - x 4*\/ x *\/ 1 - x
$$8 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)} \operatorname{acos}{\left(\sqrt{x} \right)} + \frac{\left(\frac{1}{x - 1} + \frac{1}{x}\right) \tan{\left(2 x \right)}}{4 \sqrt{x} \sqrt{1 - x}} - \frac{2 \left(\tan^{2}{\left(2 x \right)} + 1\right)}{\sqrt{x} \sqrt{1 - x}}$$
/3 3 2 \
|-- + --------- + ----------|*tan(2*x) / 2 \ /1 1 \
/ 2 \ | 2 2 x*(-1 + x)| 3*\1 + tan (2*x)/*|- + ------|
/ 2 \ / 2 \ / ___\ 12*\1 + tan (2*x)/*tan(2*x) \x (-1 + x) / \x -1 + x/
16*\1 + tan (2*x)/*\1 + 3*tan (2*x)/*acos\\/ x / - --------------------------- - -------------------------------------- + ------------------------------
___ _______ ___ _______ ___ _______
\/ x *\/ 1 - x 8*\/ x *\/ 1 - x 2*\/ x *\/ 1 - x
$$16 \left(\tan^{2}{\left(2 x \right)} + 1\right) \left(3 \tan^{2}{\left(2 x \right)} + 1\right) \operatorname{acos}{\left(\sqrt{x} \right)} + \frac{3 \left(\frac{1}{x - 1} + \frac{1}{x}\right) \left(\tan^{2}{\left(2 x \right)} + 1\right)}{2 \sqrt{x} \sqrt{1 - x}} - \frac{12 \left(\tan^{2}{\left(2 x \right)} + 1\right) \tan{\left(2 x \right)}}{\sqrt{x} \sqrt{1 - x}} - \frac{\left(\frac{3}{\left(x - 1\right)^{2}} + \frac{2}{x \left(x - 1\right)} + \frac{3}{x^{2}}\right) \tan{\left(2 x \right)}}{8 \sqrt{x} \sqrt{1 - x}}$$