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The area of the region between the curve...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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