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int(x+3)/((x-1)(x^(2)+1))dx=...

int(x+3)/((x-1)(x^(2)+1))dx=

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int(2x+3)/((x-1)(x^(2)+1))dx=log_(e){(x-1)^((5)/(2))(x^(2)+1)^(a)-(1)/(2)tan^(-1)x+C,x>1 where C is any arbitrary constant,then the value of a'a' is

int(2x+3)/((x-1)(x^2+1))dx =log_e{(x-1)^(5/2)(x^2+1)^a-1/2 tan^-1 x+C,x > 1 where C is any arbitrary constant, then the value of ' a' is

int(2x+3)/((x-1)(x^2+1))dx =log_e{(x-1)^(5/2)(x^2+1)^a}-1/2 tan^-1 x+C,x > 1 where C is any arbitrary constant, then the value of ' a' is

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int (3x+1)/((x-1)^(2)(x+3))dx=