The curves and enclose a closed region in the plane

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

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}

(b)

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

(c)

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

(d)

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