Let f(x) = tan^(-1) ((1+cos x)/(sinx)) a...

Let `f(x) = tan^(-1) ((1+cos x)/(sinx)) and g (x) = tan^(-1) ((sinx)/(1-cos x))`
` int {f(x)+g(x)}dx = `

`(pix)/2 - (x^(2))/4 + c`

`pix - (x^(2))/2 + c`

` (pix)/2 + (x^(2))/4+c`

`pix+(x^(2))/2 + c`

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Let f(x) = tan^(-1) ((1+cos x)/(sinx)) and g (x) = tan^(-1) ((sinx)/(1-cos x)) int f(x) dx =

`(pix)/2 - x^(2)/4 + c`

` pix - (x^(2))/4 + c`

` pi x + (x^(2))/4 + c`

none of these

f(x) is continous in (-1,1)

f(x) is differentiable in (-1,1)

f'(x) is continous in (-1,1)

All of the above

`-3/2`

`3/2`

`(3)/(2(1+a ^(2)))`

`-(3)/(2(1+a^(2)))`