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Grade: 
        1. Integrate sinx/sin(x-a)

2. Integrate cosx/cos(x-a)

3. Integrate (ln(x+1)-lnx)/(x*(x-1))
6 years ago

Answers : (1)

Rinkoo Gupta
askIITians Faculty
80 Points 
							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
4 years ago
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