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Today's Calculation Of Integral
2005 Today's Calculation Of Integral
84
Today's calculation of Integral 84
Today's calculation of Integral 84
Source: 1993 Kochi University Entrance exam
September 27, 2005
calculus
integration
limit
trigonometry
calculus computations
Problem Statement
Evaluate
lim
n
→
∞
n
∫
0
π
e
−
n
x
sin
2
n
x
d
x
\lim_{n\to\infty} n\int_0^\pi e^{-nx} \sin ^ 2 nx\ dx
n
→
∞
lim
n
∫
0
π
e
−
n
x
sin
2
n
x
d
x
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