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

Question

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

anonymous · Answer

I thought this would be an integration problem but I must be missing something

anonymous · Answer

the function is positive for all $t$ so why isn't it the integral?

anonymous · Answer

I don't know I even did the integral in my calculator in case I made a mistake and it doesn't like that answer either

anonymous · Answer

tried it in wolfram alpha too and it gave me the same integral

anonymous · Answer

did you integrate from $0$ to $x$

anonymous · Answer

https://www.wolframalpha.com/input/?i=integral+0+to+x++t^2+e^ {-3+t}

anonymous · Answer

AH, no let me try that

anonymous · Answer

it didn't like x but I needed the +C value from x for it, THANKS!