# M Cauchy Présente

Calculus Level 5

The integral $\int_0^\infty e^{\cos x} \sin(\sin x)\,\frac{dx}{x}$ can be expressed as $\frac{1}{P}\pi^Q (Re - S)$ where $$P,Q,R,S$$ are positive integers where $$P$$, $$R$$ and $$S$$ are pairwise coprime.

Write the answer as the concatenation of $$PQRS$$ of the integers $$P,Q,R,S$$. For example, if you think that the integral is equal to $$\tfrac13\pi^2(4e - 1)$$, give the answer 3241.

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