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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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1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
9 years ago
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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