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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?
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integrate v(t) with respect to t
you'll need to use integration by parts
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
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