Consider the curve defined implicity by the equation y^ 2 -2 y e^ ^ -1 x +x^ 2 -1+[x]+e^…

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

Consider the curve defined implicity by the equation \(y^{2}-2 y e^{\sin ^{-1} x}+x^{2}-1+[x]+e^{2 \sin ^{-1} x}=0,\) Where  
denotes the greatest integer function
The area of the region bounded by the curve between the lines \(x=0\) & \(x=1\) is

1. \(\frac{\pi}{2}\)
2. \(\frac{\pi}{2}-1\)
   
3. \(\frac{\pi}{2}+1\)
4. \(\pi+1\)

Answer

(A) 2

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