/ 2 \
cos(2*x) |/ cos(2*x) \ cos(2*x) 4*sin(2*x) |
x *||- -------- + 2*log(x)*sin(2*x)| - -------- - ---------- - 4*cos(2*x)*log(x)|
|\ x / 2 x |
\ x /
$$x^{\cos{\left(2 x \right)}} \left(\left(2 \log{\left(x \right)} \sin{\left(2 x \right)} - \frac{\cos{\left(2 x \right)}}{x}\right)^{2} - 4 \log{\left(x \right)} \cos{\left(2 x \right)} - \frac{4 \sin{\left(2 x \right)}}{x} - \frac{\cos{\left(2 x \right)}}{x^{2}}\right)$$
/ 3 \
cos(2*x) | / cos(2*x) \ 12*cos(2*x) 2*cos(2*x) / cos(2*x) \ /cos(2*x) 4*sin(2*x) \ 6*sin(2*x) |
x *|- |- -------- + 2*log(x)*sin(2*x)| - ----------- + ---------- + 3*|- -------- + 2*log(x)*sin(2*x)|*|-------- + ---------- + 4*cos(2*x)*log(x)| + ---------- + 8*log(x)*sin(2*x)|
| \ x / x 3 \ x / | 2 x | 2 |
\ x \ x / x /
$$x^{\cos{\left(2 x \right)}} \left(- \left(2 \log{\left(x \right)} \sin{\left(2 x \right)} - \frac{\cos{\left(2 x \right)}}{x}\right)^{3} + 3 \left(2 \log{\left(x \right)} \sin{\left(2 x \right)} - \frac{\cos{\left(2 x \right)}}{x}\right) \left(4 \log{\left(x \right)} \cos{\left(2 x \right)} + \frac{4 \sin{\left(2 x \right)}}{x} + \frac{\cos{\left(2 x \right)}}{x^{2}}\right) + 8 \log{\left(x \right)} \sin{\left(2 x \right)} - \frac{12 \cos{\left(2 x \right)}}{x} + \frac{6 \sin{\left(2 x \right)}}{x^{2}} + \frac{2 \cos{\left(2 x \right)}}{x^{3}}\right)$$