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Homework Statement:

A boat with initial velocity Vo starts to slow down by the resistive force F=b(e^cv) (b and c are constants v is the velocity of the boat) by water when the engines are stopped.
a)Find the velocity v(t)
b)Find the time required for the boat to stop
c)Find the distance until the boat completely stop
Relevant Equations:
 ## F = mdv/dt = b(e^c)^v ##
I solved this question until the end of the "c)Find the distance until the boat completely stop"
However I can not solve the integral I encounter in the solution of the last part of c).
Would you please check for math and maybe my mistakes and tell me what to do? Here:
However I can not solve the integral I encounter in the solution of the last part of c).
Would you please check for math and maybe my mistakes and tell me what to do? Here:
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