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Mathematics
Mathematics
Problem
Evaluate
∫
0
1
sin
θ
(
cos
2
θ
−
cos
2
π
/
5
)
(
cos
2
θ
−
cos
2
2
π
/
5
)
sin
5
θ
d
θ
.
\int_{0}^{1} \frac{\sin \theta (\cos^2 \theta - \cos^2 \pi/5) (\cos^2 \theta - \cos^2 2\pi/5)}{\sin 5\theta} d\theta.
∫
0
1
sin
5
θ
sin
θ
(
cos
2
θ
−
cos
2
π
/5
)
(
cos
2
θ
−
cos
2
2
π
/5
)
d
θ
.
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