Mathematics Integral Calculus Application of Integrals

The area of the region bounded by the curves x(1 + y2) = 1 and y2 = 2x is : 

1
\(2\left(\frac{\pi}{2}-\frac{1}{3}\right)\)
2
\(\frac{\pi}{4}-\frac{1}{3}\)
3
\(\frac{\pi}{2}-\frac{1}{3}\)
4
\(\frac{1}{2}\left(\frac{\pi}{2}-\frac{1}{3}\right)\)

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