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CBSE Class 12-science Answered

Integral 1 + tanx divided by 1 - tanx dx
Asked by rraj.15266 | 27 Nov, 2017, 07:44: AM
answered-by-expert Expert Answer
begin mathsize 16px style integral fraction numerator 1 plus tanx over denominator 1 minus tanx end fraction dx
integral fraction numerator 1 plus begin display style sinx over cosx end style over denominator 1 minus begin display style sinx over cosx end style end fraction dx
integral fraction numerator cos begin display style straight x end style begin display style plus end style begin display style sinx end style over denominator cos begin display style straight x end style begin display style minus end style begin display style sinx end style end fraction dx
Put space cosx minus sinx equals straight t
left parenthesis negative sinx minus cosx right parenthesis dx equals dt
left parenthesis sinx plus cosx right parenthesis dx equals negative dt
integral fraction numerator negative dt over denominator straight t end fraction
Integrate space it space further. end style
Answered by Sneha shidid | 28 Nov, 2017, 12:23: PM
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integral fraction numerator sin x times cos x over denominator square root of 1 plus sin squared end root x end fraction d x
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