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Mathematics
Problem
The cardioid
r
=
1
+
cos
θ
r=1+\cos\theta
r
=
1
+
cos
θ
is traced once as
θ
\theta
θ
varies from
0
0
0
to
π
\pi
π
. Express the length of the curve on this interval as a definite integral in terms of
θ
\theta
θ
. Do not evaluate.
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