Mathematics

Problem

The curves

x = y^{2}

and

x = 4 - y^{2}

enclose a closed region in the plane. Calculate its area. a)

\dfrac{32\sqrt{2}}{3}

\dfrac{16\sqrt{2}}{3}

\dfrac{8\sqrt{2}}{3}

\dfrac{20\sqrt{2}}{3}