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CBSE Class 12-science Answered

Integration (sin x + cos x)/(sin 2x)1/2 dx explain in great detail
Asked by haroonrashidgkp | 05 Oct, 2018, 12:16: PM
answered-by-expert Expert Answer
begin mathsize 18px style integral fraction numerator sinx plus cosx over denominator square root of sin 2 straight x end root end fraction dx
equals integral fraction numerator begin display style sinx plus cosx end style over denominator begin display style square root of 1 minus open parentheses 1 minus 2 sinx space cosx close parentheses end root end style end fraction dx
equals integral fraction numerator begin display style sinx plus cosx end style over denominator begin display style square root of 1 minus open parentheses sinx space minus space cosx close parentheses squared end root end style end fraction dx
sinx space minus space cosx equals straight t
open parentheses sinx space plus space cosx close parentheses dx space equals space dt
equals integral fraction numerator begin display style dt end style over denominator begin display style square root of 1 minus straight t squared end root end style end fraction
equals sin to the power of negative 1 end exponent open parentheses straight t close parentheses plus straight c
equals sin to the power of negative 1 end exponent open parentheses sinx space minus space cosx close parentheses plus straight c end style
Answered by Arun | 08 Oct, 2018, 10:53: AM
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