009B Sample Midterm 3, Problem 4

The rate of reaction to a drug is given by:

$r'(t)=2t^{2}e^{-t}$

where $t$ is the number of hours since the drug was administered.

Find the total reaction to the drug from $t=1$ to $t=6.$

Foundations:

Solution:

Step 1:

Step 2:

Step 3:

Final Answer:

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