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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)^(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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