The area of the region A = ({(x,y):|cos⁡x−sin⁡x|≤y≤sin⁡x,0≤x... | Mathematics | SolveeIt

The area of the region A = ${(x,y):|cos⁡x−sin⁡x|≤y≤sin⁡x,0≤x≤\frac{π}{ 2} }$ is

$\sqrt 5−2\sqrt 2+1$

$1-\frac{3}{\sqrt 2}+\frac{4}{\sqrt 5}$

$\frac{3}{\sqrt 5}-\frac{3}{\sqrt 2}+1$

$\sqrt 5+2\sqrt 2−4.5$

Answer

$\sqrt 5−2\sqrt 2+1$

Explanation

The Correct Option is (A): $\sqrt 5−2\sqrt 2+1$

Mathematics Question on Area under Simple Curves