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Rational Function

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If the integrand is a rational function of x and fractinal powers of a linear fractional of the form (Ax+B)/(Cx+D) , then rationalization of the integral is affected by the substitution (Ax+B)/(Cx+D)=t^(m) If int (dx)/(root(3)((x+1)^(2)(x-1)^(4)))=Kroot(3)((1+x)/(1-x))+C , Then K is equal to

If (2x^(2)-3x+1)y+(ax^(2)-5x+1)=0 then the possible real values of a for which x may be expressed as a ration function of y are

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Let f(x)=[0, if x is rational and x if x is irrational and g(x)=[0, if x is irrational and x if x is rational then the function (f-g)x is

Let f(x)=0 for x is rational and x if x is irrational and g(x)=0 if x is irrational and x if x is rational then the function (f-g)x is

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