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itrigal of (dx/tanx+1 ) =?

itrigal of (dx/tanx+1 ) =?

Grade:12th Pass

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
7 years ago
integral cosx/(sinx+cosx)
=integral cosx(cosx-sinx)/(cosx+sinx)(cosx-sinx)
integral (cos^2x-sinxcosx)/cos^2x-sin^2x) dx
=integral ((1+cos2x)/2)/cos2x-((sin2x)/2)/cos2x
=1/2integral(sec2x+1)-1/2integraltan2x dx
=1/4logmod(sec2x+tan2x)+x/2+1/4logmodcos(2x)

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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