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CBSE Class 12-science Answered

Integration ex[( 1 – x2)1/2 sin-1x + 1]/( 1 – x2)1/2 dx  explain in great detail
Asked by haroonrashidgkp | 24 Oct, 2018, 08:05: PM
answered-by-expert Expert Answer
integral e to the power of x left parenthesis fraction numerator square root of 1 minus x squared space end root space sin to the power of negative 1 end exponent x space plus 1 over denominator square root of 1 minus x squared end root end fraction right parenthesis space d x integral e to the power of x left parenthesis fraction numerator square root of 1 minus x squared space end root space sin to the power of negative 1 end exponent x over denominator square root of 1 minus x squared end root end fraction plus space fraction numerator 1 over denominator square root of 1 minus x squared end root end fraction right parenthesis space d x integral e to the power of x left parenthesis space sin to the power of negative 1 end exponent x space plus space fraction numerator 1 over denominator square root of 1 minus x squared end root end fraction right parenthesis space d x w e space h a v e space integral e to the power of x space left parenthesis f left parenthesis x right parenthesis plus f apostrophe left parenthesis x right parenthesis right parenthesis space d x equals space e to the power of x f left parenthesis x right parenthesis space plus c integral e to the power of x left parenthesis space sin to the power of negative 1 end exponent x space plus space fraction numerator 1 over denominator square root of 1 minus x squared end root end fraction right parenthesis space d x equals space e to the power of x space sin to the power of negative 1 end exponent space x space plus c
Answered by Ram Singh | 28 Oct, 2018, 02:34: PM

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