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CBSE Class 12-science Answered

Integration log( 2 + x2) dx  explain in great detail and give full solution
Asked by haroonrashidgkp | 20 Oct, 2018, 10:56: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral log open parentheses 2 plus straight x squared close parentheses dx straight I equals integral log open parentheses 2 plus straight x squared close parentheses cross times 1 dx straight I equals log open parentheses 2 plus straight x squared close parentheses integral dx minus integral open square brackets straight d over dx log open parentheses 2 plus straight x squared close parentheses integral dx close square brackets dx straight I equals straight x log open parentheses 2 plus straight x squared close parentheses minus integral fraction numerator 2 straight x over denominator 2 plus straight x squared end fraction cross times xdx straight I equals xlog open parentheses 2 plus straight x squared close parentheses minus 2 integral open parentheses fraction numerator straight x squared over denominator 2 plus straight x squared end fraction close parentheses dx straight I equals xlog open parentheses 2 plus straight x squared close parentheses minus 2 integral fraction numerator straight x squared plus 2 minus 2 over denominator 2 plus straight x squared end fraction dx straight I equals xlog open parentheses 2 plus straight x squared close parentheses minus 2 integral open parentheses 1 minus fraction numerator 2 over denominator 2 plus straight x squared end fraction close parentheses dx straight I equals xlog open parentheses 2 plus straight x squared close parentheses minus 2 open parentheses straight x minus 2 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 | 22 Oct, 2018, 03:50: PM

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