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Given int0^(pi/2)(dx)/(1+sinx+cosx)=log2...

`Given int_0^(pi/2)(dx)/(1+sinx+cosx)=log2.` Then the value of integral `int_0^(pi/2)(sinx)/(1+sinx+cosx)dx` is equal to
(a) `1/2log2` (b) `i spi/2-log2` (c)`pi/4-1/2log2` (d) `pi/2+log2`

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