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Arnold's Trivium
1991 Arnold's Trivium
51
51
Part of
1991 Arnold's Trivium
Problems
(1)
Problem 51
Source:
7/1/2010
Calculate the integral
∫
−
∞
+
∞
e
i
k
x
1
−
e
x
1
+
e
x
d
x
\int_{-\infty}^{+\infty}e^{ikx}\frac{1-e^x}{1+e^x}dx
∫
−
∞
+
∞
e
ik
x
1
+
e
x
1
−
e
x
d
x
calculus
integration
trigonometry