The area of the region between the curve...

The area of the region between the curves `y= sqrt((1+sinx)/(cosx))and y = sqrt((1-sinx)/(cosx))` bounded by the lines `x = 0 and x = pi/4` is

A

`int_0^(sqrt2-1) t/((1 -t^2)sqrt(1 - t^2))dt`

B

`int_0^(sqrt2-1) (4t)/((1+ t^2)sqrt(1 - t^2))dt`

C

`int_0^(sqrt2 + 1) (4t)/((1 + t^2) sqrt(1 - t^2))dt`

D

`int_0^(sqrt2 + 1) t/((1 + t^2)sqrt(1 - t^2))dt`

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The correct Answer is:

B

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