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Putnam
1982 Putnam
A3
arctan integral
arctan integral
Source: Putnam 1982 A3
September 20, 2021
integration
calculus
Problem Statement
Evaluate
∫
0
∞
arctan
(
π
x
)
−
arctan
(
x
)
x
d
x
.
\int^\infty_0\frac{\operatorname{arctan}(\pi x)-\operatorname{arctan}(x)}xdx.
∫
0
∞
x
arctan
(
π
x
)
−
arctan
(
x
)
d
x
.
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