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CMIMC Integration Bee
2023 CMIMC Integration Bee
9
2023 Integration Bee Problem 9
2023 Integration Bee Problem 9
Source:
March 25, 2023
calculus
integration
integration bee
Problem Statement
∫
−
1
1
x
2022
cos
(
π
12
−
x
)
sin
(
π
12
+
x
)
d
x
\int_{-1}^1 x^{2022}\cos\left(\tfrac \pi {12}-x\right)\sin\left(\tfrac \pi{12}+x\right)\,\mathrm dx
∫
−
1
1
x
2022
cos
(
12
π
−
x
)
sin
(
12
π
+
x
)
d
x
Proposed by Michael Duncan, Connor Gordon, and Vlad Oleksenko
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