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If for x (0,1/4), the derivative of tan...

If for `x (0,1/4),` the derivative of `tan^(-1)((6xsqrt(x))/(1-9x^3))` is `sqrt(x)dotg(x),` then `g(x)` equals: (1)`(3x)/(1-9x^3)` (2) `3/(1+9x^3)` (3) `9/(1+9x^3)` (4) `(3xsqrt(x))/(1-9x^3)`

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int_(1)^(2)(3x)/(9x^(2)-1)dx