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CBSE Class 12-science Answered

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Asked by omm.welfare | 04 Nov, 2018, 11:51: AM
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begin mathsize 16px style straight I equals integral fraction numerator 5 sinx over denominator 3 minus 2 sinx end fraction dx straight I equals negative 5 integral fraction numerator sinx over denominator 2 sinx minus 3 end fraction dx straight I equals negative 5 integral fraction numerator begin display style 1 half end style open parentheses 2 sinx minus 3 close parentheses plus begin display style 3 over 2 end style over denominator 2 sinx minus 3 end fraction dx straight I equals negative 5 integral open parentheses 1 half plus fraction numerator 3 over denominator 2 left parenthesis 2 sinx minus 3 right parenthesis end fraction close parentheses dx straight I equals negative 5 open parentheses straight x over 2 plus 3 over 2 integral fraction numerator dx over denominator 2 sinx minus 3 end fraction close parentheses Put space tan straight x over 2 equals straight t straight x equals 2 tan to the power of negative 1 end exponent straight t dx equals fraction numerator 2 over denominator 1 plus straight t squared end fraction dt sinx equals fraction numerator 2 tan begin display style straight x over 2 end style over denominator 1 minus tan squared begin display style straight x over 2 end style end fraction equals fraction numerator 2 straight t over denominator 1 plus straight t squared end fraction Put space it space in space the space integral space and space simplify space it space further. end style
Answered by Sneha shidid | 06 Nov, 2018, 10:30: AM

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CBSE 12-science - Maths
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