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QJEEAdv05Ma289b: JEE Advanced 2005 Mathematics - Class 12 JEEAdv05Ma289b Solution: Evaluate

Evaluate  ∫0πe∣cos⁡x∣(2sin⁡(12cos⁡x)+3cos⁡(12cos⁡x))sin⁡x  dx\,\int\limits_0^\pi {{e^{\left| {\cos x} \right|}}} \left( {2\sin \left( {{1 \over 2}\cos x} \right) + 3\cos \left( {{1 \over 2}\cos x} \right)} \right)\sin x\,\,dx

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