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Students in a Calculus class are given two functions, graphed in the image below.

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    \includegraphics[width=0.6\textwidth]{cw1.png}
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The students were asked to find the area between the curves on $[5,10]$. Their answers are below:
\begin{itemize}
    \item Student A: 25
    \item Student B: 100
    \item Student C: 75
    \item Student D: -75
\end{itemize}

Only one student got the problem correct. Which student got it correct? What mistake did each of the other students likely make? Justify your claims. 

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