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CBSE Class 12-science Answered

Integral (1-x)√1+x dx
Asked by rraj.15266 | 05 Dec, 2017, 11:37: AM
answered-by-expert Expert Answer
begin mathsize 16px style integral open parentheses 1 minus straight x close parentheses square root of 1 plus straight x end root dx
integral open parentheses square root of 1 plus straight x end root minus straight x square root of 1 plus straight x end root close parentheses dx
fraction numerator left parenthesis 1 plus straight x right parenthesis 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 integral straight x square root of 1 plus straight x end root dx
For space the space second space integral space put space 1 plus straight x equals straight t
dx equals dt
2 over 3 left parenthesis 1 plus straight x right parenthesis to the power of 3 over 2 end exponent minus integral open parentheses straight t minus 1 close parentheses square root of straight t dt
Integrate space it space further. end style
Answered by Sneha shidid | 05 Dec, 2017, 12:30: PM
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