Can you solve this basic kinematics problem?

Calculus Level 5

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

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

If the particle began its motion from the origin, at time t=0t=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.


Original.
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