Use the Fundamental Theorem of Calculus to find the "area under curve" of
−
x
2
+
10
x
\displaystyle -{x}^{{2}}+{10}{x}
−
x
2
+
10
x
between
x
=
1
\displaystyle {x}={1}
x
=
1
and
x
=
5
\displaystyle {x}={5}
x
=
5
. In your calculations, if you need to round, do not do so until the very end of the problem.
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