1. Integrate sinx/sin(x-a)
2. Integrate cosx/cos(x-a)
3. Integrate (ln(x+1)-lnx)/(x*(x-1))

Question

1. Integrate sinx/sin(x-a) 2. Integrate cosx/cos(x-a) 3. Integrate (ln(x+1)-lnx)/(x*(x-1))

Rinkoo Gupta · Answer

Integrate sinx/sin(x-a) dx =integrate sin{(x-a)+a}/sin(x-a) dx =integral {sin(x-a)cosa+cos(x-a) sina}/sin(x-a) dx =integral {cosa+sina. cot(x-a)} dx =x cosa+ sina log mod (sin(x-a)) +c Thanks & Regards Rinkoo Gupta askIITians Faculty

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1. Integrate sinx/sin(x-a) 2. Integrate cosx/cos(x-a) 3. Integrate (ln(x+1)-lnx)/(x*(x-1))

1. Integrate sinx/sin(x-a)
2. Integrate cosx/cos(x-a)
3. Integrate (ln(x+1)-lnx)/(x*(x-1))

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