$$\int \frac{e^x}{(x^2+1)^{5/2}} \,\mathrm{d}x$$
Can the function be integrated, this question is linked to 2 more questions that I asked, they were not answered, I about to solve if I am able to solve this integral, I checked here & here, but no solution could be found
Please just answer that can the integral be solved using moderate-level calculus, with a hint, no need to provide a solution.