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The area, enclosed by the curves \(y=\text{sin}x+\text{cos}x\) and \(y=\left|\text{cos}x−\text{sin}x\right|\) and the li…

Q1

The area, enclosed by the curves \(y=\text{sin}x+\text{cos}x\) and \(y=\left|\text{cos}x−\text{sin}x\right|\) and the lines \(x=0,x=\frac{\pi }{2}\) , is :

[JEE Main 2021, 1 Sep (Shift 2)]

a

\(2\sqrt{2}\left(\sqrt{2}−1\right)\)

b

\(2\left(\sqrt{2}+1\right)\)

c

\(4\left(\sqrt{2}−1\right)\)

d

\(2\sqrt{2}\left(\sqrt{2}+1\right)\)

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