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Putnam
Putnam 1939
B2
Putnam 1939 B2
Putnam 1939 B2
Source:
August 20, 2021
Putnam
Problem Statement
Evaluate
∫
1
3
(
(
x
−
1
)
(
3
−
x
)
)
−
1
2
d
x
\int_{1}^{3} ( (x - 1)(3 - x) )^{\dfrac{-1}{2}} dx
∫
1
3
((
x
−
1
)
(
3
−
x
)
)
2
−
1
d
x
and
∫
1
∞
(
e
x
+
1
+
e
3
−
x
)
−
1
d
x
.
\int_{1}^{\infty} (e^{x+1} + e^{3-x})^{-1} dx.
∫
1
∞
(
e
x
+
1
+
e
3
−
x
)
−
1
d
x
.
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