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CBSE Class 12-science Answered

Evaluate     Integral x2/( 9 + 4x2) dx
Asked by haroonrashidgkp | 01 Nov, 2018, 09:31: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral fraction numerator straight x squared over denominator 9 plus 4 straight x squared end fraction dx straight I equals 1 fourth integral fraction numerator 4 straight x squared over denominator 9 plus 4 straight x squared end fraction dx straight I equals 1 fourth integral fraction numerator 9 plus 4 straight x squared minus 9 over denominator 9 plus 4 straight x squared end fraction dx straight I equals 1 fourth integral open parentheses 1 minus fraction numerator 9 over denominator 9 plus 4 straight x squared end fraction close parentheses dx straight I equals 1 fourth integral open parentheses 1 minus 9 cross times fraction numerator 1 over denominator 3 squared plus left parenthesis 2 straight x right parenthesis squared end fraction close parentheses dx straight I equals 1 fourth open parentheses straight x minus 9 over 2 cross times 1 half tan to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x over denominator 3 end fraction close parentheses close parentheses plus straight c straight I equals 1 fourth open parentheses straight x minus 9 over 4 tan to the power of negative 1 end exponent open parentheses fraction numerator 2 straight x over denominator 3 end fraction close parentheses close parentheses plus straight c end style
Answered by Sneha shidid | 02 Nov, 2018, 10:08: AM

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