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CBSE Class 12-science Answered

Integration x2 cot-1 x dx explain in great detail
Asked by haroonrashidgkp | 22 Oct, 2018, 02:09: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral straight x squared cot to the power of negative 1 end exponent xdx straight I equals integral open parentheses cot to the power of negative 1 end exponent straight x close parentheses straight x squared dx straight I equals cot to the power of negative 1 end exponent straight x integral straight x squared dx minus integral open square brackets straight d over dx cot to the power of negative 1 end exponent straight x integral straight x squared dx close square brackets dx straight I equals straight x cubed over 3 cot to the power of negative 1 end exponent straight x minus integral fraction numerator negative 1 over denominator 1 plus straight x squared end fraction cross times straight x cubed over 3 dx straight I equals straight x cubed over 3 cot to the power of negative 1 end exponent straight x plus 1 third integral fraction numerator straight x cubed over denominator 1 plus straight x squared end fraction dx straight I equals straight x cubed over 3 cot to the power of negative 1 end exponent straight x plus 1 third integral open parentheses fraction numerator open parentheses 1 plus straight x squared close parentheses straight x minus straight x over denominator 1 plus straight x squared end fraction close parentheses dx straight I equals straight x cubed over 3 cot to the power of negative 1 end exponent straight x plus 1 third integral open parentheses straight x minus fraction numerator straight x over denominator 1 plus straight x squared end fraction close parentheses dx straight I equals straight x cubed over 3 cot to the power of negative 1 end exponent straight x plus 1 third open parentheses straight x squared over 2 minus 1 half integral fraction numerator 2 straight x over denominator 1 plus straight x squared end fraction dx close parentheses straight I equals straight x cubed over 3 cot to the power of negative 1 end exponent straight x plus 1 third open parentheses straight x squared over 2 minus 1 half log open vertical bar 1 plus straight x squared close vertical bar close parentheses plus straight c end style
Answered by Sneha shidid | 22 Oct, 2018, 04:44: PM

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