If int(1)/(1+sinx)dx=tan((x)/(2)+a)+b th...

If `int(1)/(1+sinx)dx=tan((x)/(2)+a)+b` then

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The correct Answer is:

`a = -pi/4`, b and real constant

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If int (1)/(1+sin x) dx =tan ((x)/(2) +a) +b then

`a= -(pi)/(4), b in R`

`a=(pi)/(4), b in R`

`a=(5pi)/(4), b in R`

None of these

`(1)/(2sqrt(3))log|(tan((x)/(2))-2+sqrt(3))/(tan((x)/(2))-2-sqrt(3))|+c`

`(1)/(2sqrt(3))log|(tan((x)/(2))-2-sqrt(3))/(tan((x)/(2))-2+sqrt(3))|+c`

`(1)/(sqrt(3))log|(tan((x)/(2))-2-sqrt(3))/(tan((x)/(2))-2+sqrt(3))|+c`

`(1)/(sqrt(3))log|(tan((x)/(2))-2+sqrt(3))/(tan((x)/(2))-2-sqrt(3))|+c`

`a=-pi/4,b in R`

`a=pi/4,b in R`

`a=(5pi)/4, b in R`

None of these