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Evaluate: int(-pi//2)^(pi//2)(cosx)/(1+e...

Evaluate: `int_(-pi//2)^(pi//2)(cosx)/(1+e^x)dx`

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`int_(-pi//2)^(pi//2)(cosx)/(1+e^x)dx`
`=int_(-pi//2)^(0) frac{cos x}{1+e^x}dx+int_(0)^(pi//2) frac{cosx}{1+e^x}dx`
`x=-t` and `dx=-dt`
`x=pi/2` then `t=pi/2`
`=int_(-pi//2)^(0) frac{cos t}{1+e^(-t)}dt+int_(0)^(pi//2) frac{cost}{1+e^x}dx`
`int_(0)^(pi//2) cos xdx`
`sin (pi/2)-0=1`
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