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 \(x=-1\) and \(x=0\) is
- \(\frac{\pi}{2}+1\)
- \(\pi-1\)
- \(\pi+1\)
- \(\frac{\pi}{2}-1\)
Answer
(A) 2 +1
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