evaluate integral (x-5) dx to 0 to 8
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The region under the graph of
f(x)=|x−5| from a=0 to b=10
is made up of two triangles. The triangles both have a base of length 4 units and a height of 4 units, so they each have an area of
1/2⋅4⋅4
=8.
Altogether the total area is 8, and this is the value of the definite integral
10
∫
0 f(x)dx.
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