Mathematics

Mathematics

Problem

∫sin⁡xsin⁡(x−α) dx=\int \frac{\sin x}{\sin(x - \alpha)}\,dx = (a) xcos⁡α−sin⁡α log⁡sin⁡(x−α)+cx\cos\alpha - \sin\alpha\,\log\sin(x - \alpha) + c (b) xcos⁡α+sin⁡α log⁡sin⁡(x−α)+cx\cos\alpha + \sin\alpha\,\log\sin(x - \alpha) + c (c) xsin⁡α−sin⁡α log⁡sin⁡(x−α)+cx\sin\alpha - \sin\alpha\,\log\sin(x - \alpha) + c (d) None of these (a) xcos⁡α−sin⁡α log⁡sin⁡(x−α)+cx\cos\alpha - \sin\alpha\,\log\sin(x - \alpha) + c (b) xcos⁡α+sin⁡α log⁡sin⁡(x−α)+cx\cos\alpha + \sin\alpha\,\log\sin(x - \alpha) + c (c) xsin⁡α−sin⁡α log⁡sin⁡(x−α)+cx\sin\alpha - \sin\alpha\,\log\sin(x - \alpha) + c (d) None of these

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