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7
2023 Integration Bee Problem 7
2023 Integration Bee Problem 7
Source:
March 25, 2023
calculus
integration
integration bee
Problem Statement
∫
0
π
2
(
1
1
−
cos
(
x
)
−
2
x
2
)
d
x
\int_0^{\frac \pi 2} \left(\frac{1}{1-\cos(x)}-\frac{2}{x^2}\right)\,\mathrm dx
∫
0
2
π
(
1
−
cos
(
x
)
1
−
x
2
2
)
d
x
Proposed by Vlad Oleksenko
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