Mathematics
The area of the region $A=\{(x,y):|cosx-sinx|\leq y \leq sinx,0≤x^2\}$ is
A
$\sqrt5 - 2\sqrt2 + 1$
B
$\sqrt5+2\sqrt2 - 4.5$
C
$1-\frac{3}{\sqrt2}+\frac{4}{\sqrt5}$
D
$\frac{3}{\sqrt5}-\frac{3}{\sqrt2} + 1$
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