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

A. `int_(0)^(sqrt(2)-1)(t)/((1+t^(2))sqrt(1-t^(2)))dt`

B

B. `int_(0)^(sqrt(2)-1)(4t)/((1+t^(2))sqrt(1-t^(2)))dt`

C

C. `int_(0)^(sqrt(2)=1)(4t)/((1+t^(2))sqrt(1-t^(2)))dt`

D

D. `int_(0)^(sqrt(2)+1)(t)/((1+t^(2))sqrt(1-t^(2)))dt`

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The correct Answer is:

B

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