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Question Number 91290 by mhmd last updated on 29/Apr/20

Commented by MJS last updated on 29/Apr/20

$$\mathrm{let}n=2k$$$$\underset{2k}{\stackrel{2(k+1)}{\int }}\frac{dx}{(1+3^{\cos x})(1+3^{\sin x})}\approx 1.57079632679=\frac{\pi }{2}$$$$\Rightarrow \mathrm{answer}\mathrm{is}\frac{\pi n}{2}$$

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