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Mathematics
Problem
Evaluate
∫
cos
(
cos
−
1
α
)
sin
(
sin
−
1
β
)
∣
cos
(
cos
−
1
x
)
sin
(
sin
−
1
x
)
∣
d
x
\int_{\cos(\cos^{-1}\alpha)}^{\sin(\sin^{-1}\beta)} \left| \frac{\cos(\cos^{-1}x)}{\sin(\sin^{-1}x)} \right| dx
∫
c
o
s
(
c
o
s
−
1
α
)
s
i
n
(
s
i
n
−
1
β
)
s
i
n
(
s
i
n
−
1
x
)
c
o
s
(
c
o
s
−
1
x
)
d
x
.
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