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CBSE Class 12-science Answered

Integration cos-1 ( 1 – x2/1 + x2) dx explain in great detail
Asked by haroonrashidgkp | 23 Oct, 2018, 02:14: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral cos to the power of negative 1 end exponent open parentheses fraction numerator 1 minus straight x squared over denominator 1 plus straight x squared end fraction close parentheses dx
straight x equals tanθ rightwards double arrow straight theta equals tan to the power of negative 1 end exponent straight x
dx equals sec squared θdθ
straight I equals integral cos to the power of negative 1 end exponent open parentheses fraction numerator 1 minus tan squared straight theta over denominator 1 plus tan squared straight theta end fraction close parentheses sec squared θdθ
straight I equals integral cos to the power of negative 1 end exponent open parentheses cos 2 straight theta close parentheses sec squared θdθ
straight I equals integral 2 θsec squared θdθ
Solve space it space further space using space integration space by space parts. end style
Answered by Sneha shidid | 23 Oct, 2018, 05:46: PM
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