Tìm nguyên hàm: I=∫sin^4 2x.cos^3 x / tan(x+π/4)tan(x-π/4)dx

A. $16\left(\frac{{\sin }^{11}x}{11}-\frac{{\sin }^{9}x}{3}+\frac{3{\sin }^{7}x}{7}-\frac{{\sin }^{5}x}{5}+C\right)$

B. $16\left(\frac{{\sin }^{11}x}{11}+\frac{{\sin }^{9}x}{3}+\frac{{\sin }^{7}x}{7}-\frac{{\sin }^{5}x}{5}+C\right)$

C. $16\left(\frac{{\sin }^{11}x}{11}-\frac{{\sin }^{9}x}{3}+\frac{{\sin }^{7}x}{7}+\frac{{\sin }^{5}x}{5}+C\right)$

D. Tất cả đều sai