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CBSE Class 12-science Answered

Integration (1 – x)(1 + x)1/2 dx explain in great detail
Asked by haroonrashidgkp | 03 Oct, 2018, 08:58: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral open parentheses 1 minus straight x close parentheses square root of 1 plus straight x end root dx 1 plus straight x equals straight t straight x equals straight t minus 1 dx equals dt straight I equals integral open square brackets 1 minus left parenthesis straight t minus 1 right parenthesis close square brackets square root of straight t dt straight I equals integral open parentheses 2 minus straight t close parentheses straight t to the power of 1 half end exponent dt straight I equals integral open parentheses 2 straight t to the power of 1 half end exponent minus straight t to the power of 3 over 2 end exponent close parentheses dt straight I equals fraction numerator 2 straight t to the power of begin display style 3 over 2 end style end exponent over denominator begin display style 3 over 2 end style end fraction minus fraction numerator straight t to the power of begin display style 5 over 2 end style end exponent over denominator begin display style 5 over 2 end style end fraction plus straight c straight I equals 2 open parentheses open parentheses 1 plus straight x close parentheses to the power of begin display style 3 over 2 end style end exponent over 3 minus open parentheses 1 plus straight x close parentheses to the power of 5 over 2 end exponent over 5 close parentheses plus straight c end style
Answered by Sneha shidid | 05 Oct, 2018, 09:31: AM

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CBSE 12-science - Maths
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