A particle that moves along a straight line has velocity v(t) = t2e-t meters per second after t seconds. How far will it travel during the first t seconds. This problem is from “calculus” by James Stewart 5e pg 517 # 61 I started the problem by using the formula for integration by parts. This is what I have. ∫udv = uv - ∫ v du ∫ t2e-t dt = u = t2 dv = e-t du = 2t v = -e-t I don’t know where to go on from here. Can someone please show me the solution to this problem?