JEE Advance 2025 Paper 1

Let $\alpha, \beta$   be real numbers such that $\lim_{x \to 0} \frac{1}{x^{3}} \left( \frac{\alpha}{2} \int_{0}^{x} \frac{1}{1-t^{2}} dt + \beta x \cos x \right) = 2$  . Find $\alpha + \beta$  .