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.(adsbygoogle = window.adsbygoogle || []).push({});

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?

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# Homework Help: Help with integration problem

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