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rgitelman
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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?
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?