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CBSE Class 12-science Answered

Integration x sin-1 x dx explain in great detail
Asked by haroonrashidgkp | 21 Oct, 2018, 03:38: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight I equals integral xsin to the power of negative 1 end exponent xdx straight I equals integral open parentheses sin to the power of negative 1 end exponent straight x close parentheses xdx straight I equals sin to the power of negative 1 end exponent straight x integral xdx minus integral open square brackets straight d over dx sin to the power of negative 1 end exponent straight x integral xdx close square brackets dx straight I equals straight x squared over 2 sin to the power of negative 1 end exponent straight x minus integral fraction numerator 1 over denominator square root of 1 minus straight x squared end root end fraction cross times straight x squared over 2 dx straight I equals fraction numerator straight x squared sin to the power of negative 1 end exponent straight x over denominator 2 end fraction minus 1 half integral fraction numerator 1 minus straight x squared plus 1 over denominator square root of 1 minus straight x squared end root end fraction dx straight I equals fraction numerator straight x squared sin to the power of negative 1 end exponent straight x over denominator 2 end fraction minus 1 half integral open parentheses square root of 1 minus straight x squared end root plus fraction numerator 1 over denominator square root of 1 minus straight x squared end root end fraction close parentheses dx Integrate space it space further space using space suitable space formulae end style
Answered by Sneha shidid | 22 Oct, 2018, 04:20: PM

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