Question

`int tan^-1((2tanx)/(1 - tan^2x))`dx = ______

पर्याय

• x² + c

• x³ + c

• `x^2/2 + c`

• `x^3/3 + c`

Answer 1

`int tan^-1((2tanx)/(1 - tan^2x))`dx = x² + c

Explanation:

`int tan^-1((2tanx)/(1 - tan^2x))`dx = `inttan^-1(tan2x)dx`

= `int2x  dx = 2.x^2/2 + c = x^2 + c`