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Mathematics
Mathematics
Problem
Evaluate
∫
(
2
sin
θ
+
sin
2
θ
)
d
θ
(
cos
θ
−
1
)
cos
θ
+
cos
2
θ
+
cos
3
θ
\int \frac{(2 \sin \theta + \sin 2\theta) d\theta}{(\cos \theta - 1) \sqrt{\cos \theta + \cos^2 \theta + \cos^3 \theta}}
∫
(
c
o
s
θ
−
1
)
c
o
s
θ
+
c
o
s
2
θ
+
c
o
s
3
θ
(
2
s
i
n
θ
+
s
i
n
2
θ
)
d
θ
.
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