Mathematics

Problem

Area enclosed by

y = g(x)

x = -3

x = 5

and x-axis where

g(x)

is the inverse function of

f(x) = x^3 + 3x + 1

is ______ (A)

\frac{5}{2}

(B)

\frac{7}{2}

(C)

\frac{9}{2}

(D)

\frac{3}{2}