Find the integral of the function \int \sin\left(\frac{3π}{2}x\right) using symbolic notation and fractions where needed. Express the answer in exact form and use C for the arbitrary constant. Which of the following options correctly represents the integral?

A) \frac{2}{3π}\cos\left(\frac{3π}{2}x\right) + C

B) \frac{2}{3π}\sin\left(\frac{3π}{2}x\right) + C

C) \frac{2}{π}\cos\left(\frac{3π}{2}x\right) + C

D) \frac{2}{π}\sin\left(\frac{3π}{2}x\right) + C