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Does This Integral ∫1ecos⁡(ln⁡x2)x\int _ { 1 } ^ { \sqrt { \mathrm { e } } } \frac { \cos \left( \ln x ^ { 2 } \right) } { x }

Question 27

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Does this integral ∫1ecos⁡(ln⁡x2)x\int _ { 1 } ^ { \sqrt { \mathrm { e } } } \frac { \cos \left( \ln x ^ { 2 } \right) } { x } dx = 12\frac { 1 } { 2 } sin(1)?

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