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CBSE Class 12-science Answered

 Integration cot-1 x dx explain in great detail
Asked by haroonrashidgkp | 22 Oct, 2018, 02:08: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral cot to the power of negative 1 end exponent xdx straight I equals integral cot to the power of negative 1 end exponent straight x cross times 1 dx straight I equals cot to the power of negative 1 end exponent straight x integral dx minus integral open square brackets straight d over dx cot to the power of negative 1 end exponent straight x integral dx close square brackets dx straight I equals xcot to the power of negative 1 end exponent straight x minus integral fraction numerator negative straight x over denominator 1 plus straight x squared end fraction dx straight I equals xcot to the power of negative 1 end exponent straight x plus integral fraction numerator straight x over denominator 1 plus straight x squared end fraction dx straight I equals xcot to the power of negative 1 end exponent straight x plus 1 half integral fraction numerator 2 straight x over denominator 1 plus straight x squared end fraction dx straight I equals xcot to the power of negative 1 end exponent straight x plus 1 half log open vertical bar 1 plus straight x squared close vertical bar plus straight c end style
Answered by Sneha shidid | 22 Oct, 2018, 04:37: PM

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