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what is "1/[(1-x^2)^(1/2)]"
plese give the solution of this

Asked by jaychandran1967 26th November 2017, 9:58 PM
Answered by Expert
Answer:
begin mathsize 16px style integral fraction numerator 1 over denominator square root of 1 minus straight x squared end root end fraction dx
Put space straight x equals sinθ rightwards double arrow straight theta equals sin to the power of negative 1 end exponent straight x
dx equals cosθdθ
integral fraction numerator cos begin display style θdθ end style over denominator square root of 1 minus sin squared straight theta end root end fraction
integral fraction numerator cos begin display style θdθ end style over denominator cos begin display style straight theta end style end fraction
integral dθ
straight theta plus straight c
sin to the power of negative 1 end exponent straight x plus straight c
end style
Answered by Expert 28th November 2017, 12:16 PM
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