Let f(x)=∫ ((2-x^2) · e^x)/((√(1+x))(1-x)^3 / 2) d x. If f(0)=0, then f(1/2) is equal to:

Let $\displaystyle f(x)=\int \frac{\left(2-x^2\right) \cdot \mathrm{e}^x}{(\sqrt{1+x})(1-x)^{3 / 2}} \mathrm{~d} x$. If $\displaystyle f(0)=0$, then $\displaystyle f\left(\frac{1}{2}\right)$ is equal to :