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

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

`- (1)/(sqrt(5)) tan^(-1) ((4x + 7)/(6x + 3)) + c`

`- (1)/(sqrt(5)) sin^(-1) ((4x - 7)/(6x - 3)) + c`

`- (1)/(sqrt(5)) cos^(-1) ((4x + 7)/(6x + 3)) + c`

`- (1)/(sqrt(5)) sin^(-1) ((4x + 7)/(6x +3)) + c `

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