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int0^(2000pi)1/(1+e^sinx)dx...

`int_0^(2000pi)1/(1+e^sinx)dx`

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Evaluate (int_0^(2pi) (1/(1+e^sinx))dx)

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

I=int_(0)^(2pi)(1)/(1+e^(sinx))dx is equal to

I=int_(0)^(2pi)(1)/(1+e^(sinx))dx is equal to

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

int_0^(pi/4) (1)/(1-sinx)dx

int_0^(pi/4) (1)/(1+sinx)dx

Evaluate the following integrals : int_(0)^(pi)(1)/(1+sinx)dx