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- Integrate[Sin[θ]^(D1 - Nc - 1)/(A Cos[θ] - I ϵ)^(N1 - Nc), {θ, 0, π},
- Assumptions -> A > 0 && ϵ > 0]
- Limit[%, ϵ -> 0]
- Integrate[Sin[θ]^(D1 - Nc - 1)/(A Cos[θ] - B)^(N1 - Nc), {θ, 0, π}]
- Limit[%, B -> 0]
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