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CBSE Class 12-science Answered

Integration x (x – 1)1/2 dx  explain in great detail
Asked by haroonrashidgkp | 03 Oct, 2018, 08:57: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral straight x square root of straight x minus 1 end root dx straight x minus 1 space equals space straight t straight x space equals space straight t plus 1 dx equals dt straight I equals integral open parentheses straight t plus 1 close parentheses square root of straight t dt straight I equals integral open parentheses straight t to the power of 3 over 2 end exponent plus straight t to the power of 1 half end exponent close parentheses dt straight I equals 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 fraction numerator 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 plus straight c straight I equals 2 open parentheses open parentheses straight x minus 1 close parentheses to the power of begin display style 5 over 2 end style end exponent over 5 plus open parentheses straight x minus 1 close parentheses to the power of begin display style 3 over 2 end style end exponent over 3 close parentheses plus straight c end style
Answered by Sneha shidid | 04 Oct, 2018, 04:06: PM

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CBSE 12-science - Maths
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