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15
SMT 2007 Team #15
SMT 2007 Team #15
Source:
June 30, 2012
integration
trigonometry
logarithms
Problem Statement
Evaluate
∫
0
∞
tan
−
1
(
π
x
)
−
tan
−
1
x
x
d
x
\int_{0}^{\infty}\frac{\tan^{-1}(\pi x)-\tan^{-1}x}{x}dx
∫
0
∞
x
t
a
n
−
1
(
π
x
)
−
t
a
n
−
1
x
d
x
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