9709 P33 - Jun 2023 - Q7
1774
(a) Use the substitution \(u = \, \cos x\) to show that \(\int_{0}^{\pi} \sin 2x \, e^{2 \cos x} \, dx = \int_{-1}^{1} 2u e^{2u} \, du\).
(b) Hence find the exact value of \(\int_{0}^{\pi} \sin 2x \, e^{2 \cos x} \, dx\).
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