2.12.19 Asymptotic analysis

Condition: Write an asymptotic representation of the function given by the integral. The asymptotic representation must be extended to a term that is an infinitesimal function of \( \quad x \rightarrow a \). \[ F(x)=\int_{x}^{1} \frac{\sin t}{t^{3}} d t, \quad x \rightarrow+0 \]