`int dx/(asinx+bcosx)`

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Evaluate the following integrals: (1-35) int_0^(pi//2)(asinx+bcosx)/(sinx+cosx)dx

The value of int_(0)^(pi//2)(asinx+bcosx)/(sinx+cosx)dx is equal to

int(sin2x)/(a+bcosx)^2dx