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IMC
1996 IMC
2
2
Part of
1996 IMC
Problems
(1)
IMC 1996 Problem 2
Source: IMC 1996
3/5/2021
Evaluate the definite integral
∫
−
π
π
sin
n
x
(
1
+
2
x
)
sin
x
d
x
,
\int_{-\pi}^{\pi}\frac{\sin nx}{(1+2^{x})\sin x} dx,
∫
−
π
π
(
1
+
2
x
)
sin
x
sin
n
x
d
x
,
where
n
n
n
is a natural number.
calculus
integration
real analysis