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int\ dx/(sqrt(3x^3+4x+7)) = k log|(2x-3)...

`int\ dx/(sqrt(3x^3+4x+7)) = k log|(2x-3) + sqrt(9x^2+12x+21)| + c`, then `k=` (i) `1/3` (ii)`1/sqrt3` (iii)`2/sqrt3` (iv) `4/sqrt3`

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