Which of the following option is correct from the given statements:

Statement 1 : \(\rm \int e^{\sin^{-1}x}\left(1-\frac{x}{\sqrt{1-x^2}}\right)dx=e^{\sin^{-1}x}\sqrt{1-x^2}+c\)

Statement 2 : \(\rm \int e^{g(x)}(g'(x)f(x)+f'(x))dx=e^{g(x)}f(x)+c\)