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Spain Mathematical Olympiad
1981 Spain Mathematical Olympiad
4
\int \frac{dx}{sin (x - 1) sin (x - 2)}
\int \frac{dx}{sin (x - 1) sin (x - 2)}
Source: Spanish Mathematical Olympiad 1981 P4
December 23, 2022
calculus
integration
Integral
Problem Statement
Calculate the integral
∫
d
x
sin
(
x
−
1
)
sin
(
x
−
2
)
.
\int \frac{dx}{\sin (x - 1) \sin (x - 2)} .
∫
sin
(
x
−
1
)
sin
(
x
−
2
)
d
x
.
Hint: Change
tan
x
=
t
\tan x = t
tan
x
=
t
.
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