Let \( \mathrm{f}(\mathrm{x})=\mathrm{x}^{3}+3 \mathrm{x}+2 \) and ...

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Let \( \mathrm{f}(\mathrm{x})=\mathrm{x}^{3}+3 \mathrm{x}+2 \) and \( \mathrm{g}(\mathrm{x}) \) is the inverse of it. Then the area bounded by \( \mathrm{g}(\mathrm{x}) \), the \( \mathrm{x} \)-axis and the ordinate at
P \( x=-2 \) and \( x=6 \) is

W.
(a) \( \frac{1}{4} \)
(b) \( \frac{4}{3} \)
(c) \( \frac{9}{2} \)
(d) \( \frac{7}{3} \)
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