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CBSE Class 12-science Answered

Integration of log 2 + x square    
Asked by siddharthyadav182 | 08 Nov, 2018, 12:14: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral log left parenthesis 2 plus straight x squared right parenthesis dx straight I equals integral log left parenthesis 2 plus straight x squared right parenthesis cross times 1 dx straight I equals log left parenthesis 2 plus straight x squared right parenthesis integral 1 cross times dx minus integral open parentheses straight d over dx log left parenthesis 2 plus straight x squared right parenthesis integral 1 cross times dx close parentheses dx straight I equals straight x log left parenthesis 2 plus straight x squared right parenthesis minus integral fraction numerator 2 straight x over denominator 2 plus straight x squared end fraction xdx straight I equals xlog left parenthesis 2 plus straight x squared right parenthesis minus 2 integral fraction numerator straight x squared dx over denominator 2 plus straight x squared end fraction straight I equals xlog left parenthesis 2 plus straight x squared right parenthesis minus 2 integral fraction numerator straight x squared plus 2 minus 2 over denominator straight x squared plus 2 end fraction dx straight I equals xlog left parenthesis 2 plus straight x squared right parenthesis minus 2 integral open parentheses 1 minus fraction numerator 2 over denominator straight x squared plus 2 end fraction close parentheses dx straight I equals xlog left parenthesis 2 plus straight x squared right parenthesis minus 2 open parentheses straight x minus fraction numerator 2 over denominator square root of 2 end fraction tan to the power of negative 1 end exponent open parentheses fraction numerator straight x over denominator square root of 2 end fraction close parentheses close parentheses plus straight c end style
Answered by Sneha shidid | 12 Nov, 2018, 12:18: PM

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