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int0^(pi/2)(sinx)/(sinx+cosx)dx=int0^(pi...

`int_0^(pi/2)(sinx)/(sinx+cosx)dx=int_0^(pi/2)(cosx)/(sinx+cosx)dx = int_0^(pi/2) (dx)/(1+cot x) =int_0^(pi/2) (dx)/(1+tan x) =pi/4`

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