The area of the region bounded by the cu...

The area of the region bounded by 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`

Verified by Experts

The correct Answer is:

B

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