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ul(gi-)int(0)^(2 pi)(1)/(1+e^(sin n))du...

ul(gi-)int_(0)^(2 pi)(1)/(1+e^(sin n))du

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int_(0)^(2pi)(1)/(1+e^(sinx))dx=

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int_(0)^( 2 pi)(dx)/(1+e^{sin x})

Evaluate: int_(0)^(2 pi)(1)/(1+e^(sin x))dx

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If I_(n)=int_(0)^( pi)e^(x)(sin x)^(n)dx, then (I_(3))/(I_(1)) is equal to