A particle that moves along a straight line has velocity v(t)=t^(2)e^(-3t) meters per second after t seconds. How many meters will it travel during the first t seconds?

Question

anonymous · Answer

integrate v(t)  with respect to t

anonymous · Answer

you'll need to use integration by parts

anonymous · Answer

probably more than 1 integration cycle - a tedious procedure - ill check out wolfram for you here it is http://www.wolframalpha.com/input/?i=integrate+%5B+t%5E2+e%5E%28-3t%29%5D+dt