Question

`int (dx)/sqrt(9x - 4x^2)` equal

Options

• `x tan^-1 (x + 1) + c`

• `tan^-1 (x + 1) + c`

• `(x + 1) tan^-1x + c`

• `tan^-1x + c`

Answer 1

`tan^-1 (x + 1) + c`

Explanation:

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

= `tan^-1 (x + 1) + c`