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CBSE Class 12-science Answered

  Integration tan sec2x/( 1 – tan2x) dx
Asked by haroonrashidgkp | 22 Oct, 2018, 05:33: PM
answered-by-expert Expert Answer
If your question is this 
 


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then the answer is 
begin mathsize 16px style straight I equals integral fraction numerator tanx space sec squared straight x over denominator 1 minus tan squared straight x end fraction dx
tanx equals straight t
sec squared xdx equals dt
straight I equals integral fraction numerator tdt over denominator 1 minus straight t squared end fraction
straight I equals fraction numerator negative 1 over denominator 2 end fraction integral fraction numerator negative 2 straight t over denominator 1 minus straight t squared end fraction dt
straight I equals fraction numerator negative 1 over denominator 2 end fraction log open vertical bar 1 minus straight t squared close vertical bar plus straight c
straight I equals fraction numerator negative 1 over denominator 2 end fraction log open vertical bar 1 minus tan squared straight x close vertical bar plus straight c
end style
Answered by Sneha shidid | 22 Oct, 2018, 06:51: PM
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