JEE Math Practice Question
The area of the region bounded by the curves $x(1+y^2)=1$ and $y^2=2x$ is:
- A.$\frac{\pi}{4} - \frac{1}{3}$
- B.$\frac{\pi}{2} - \frac{1}{3}$
- C.$2\left(\frac{\pi}{2} - \frac{1}{3}\right)$
- D.$\frac{1}{2}\left(\frac{\pi}{2} - \frac{1}{3}\right)$
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