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CBSE Class 12-science Answered

Integration x cos-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 xcos to the power of negative 1 end exponent xdx straight I equals integral open parentheses cos to the power of negative 1 end exponent straight x close parentheses xdx straight I equals cos to the power of negative 1 end exponent straight x integral xdx minus integral open square brackets straight d over dx cos to the power of negative 1 end exponent straight x integral xdx close square brackets dx straight I equals straight x squared over 2 cos to the power of negative 1 end exponent straight x minus integral open parentheses fraction numerator negative 1 over denominator square root of 1 minus straight x squared end root end fraction cross times straight x squared over 2 close parentheses dx straight I equals straight x squared over 2 cos to the power of negative 1 end exponent straight x plus 1 half integral fraction numerator straight x squared over denominator square root of 1 minus straight x squared end root end fraction dx straight I equals straight x squared over 2 cos to the power of negative 1 end exponent straight x plus 1 half integral fraction numerator 1 minus straight x squared minus 1 over denominator square root of 1 minus straight x squared end root end fraction dx straight I equals straight x squared over 2 cos to the power of negative 1 end exponent straight x plus 1 half integral open parentheses square root of 1 minus straight x squared end root minus fraction numerator 1 over denominator square root of 1 minus straight x squared end root end fraction close parentheses dx end style
Answered by Sneha shidid | 22 Oct, 2018, 05:50: PM

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