Evaluate the integral: ∫ sin¹²(x) cos⁵(x) \, dx. Express numbers in exact form and use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.

Which of the following options correctly represents the integral?

A) ∫ sin¹²(x) cos⁵(x) \, dx
B) ∫ sin¹²(x) cos⁵(x) \, dx + C
C) ∫ sin¹²(x) cos⁵(x) \, dx - C
D) ∫ sin¹²(x) cos⁵(x) \, dx + C₁