$v(t)=\frac { \ln(1+t) }{ \sqrt { t } +t\sqrt { t } }$

A small particle moves with a velocity as a function of time $t$ as described above.

If the particle began its motion from the origin, at time $t=0$. Find the exact displacement (in units) of the particle after infinitely long time.

Give your answer to 3 decimal places.

For more calculus problems see this.