9514 1404 393
Answer:
4 in
Step-by-step explanation:
The distance in inches can be found by integrating the velocity in inches per second.
[tex]\displaystyle\int_0^1{(4t^3+3t^2+2t+1)\,dt}=\left.t^4+t^3+t^2+t\right|_0^1=4-0=\boxed{4}[/tex]
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This integral is designed to be easy enough to do without a calculator. A calculator can do integrals like this pretty easily.
