Grade 12th PassIntegral Calculus
itrigal of (dx/tanx+1 ) =?
itrigal of (dx/tanx+1 ) =?
1 Answer
Rinkoo Gupta
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)
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Rinkoo Gupta
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