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 \(x=0 \& x=\frac{1}{2}\) is
- \(\frac{\sqrt{3}}{4}+\frac{\pi}{6}\)
- \(\frac{\sqrt{3}}{2}+\frac{\pi}{6}\)
- \(\frac{\sqrt{3}}{4}-\frac{\pi}{6}\)
- \(\frac{\sqrt{3}}{2}-\frac{\pi}{6}\)
Answer
(A) 3 4 + 6
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