Mathematics · JEE | INTEGRALS

Evaluate the integral \( \int \frac{dx}{\sqrt{9x - 4x^2}} \).

1. A
   \( \frac{1}{2} \sin^{-1}(\frac{8x-9}{9}) + C \)
2. B
   \( \frac{1}{2} \sin^{-1}(\frac{9x-8}{8}) + C \)
3. C
   \( \frac{1}{2} \sin^{-1}(\frac{9x-8}{9}) + C \)
4. D
   \( \sin^{-1}(\frac{9x-8}{9}) + C \)