If \( f(x)=x^{3}+3 x+4 \) then value of \( \int_{-1}^{1} f(x) d x+\int_{0}^{4} f^{-1}(x) d x \) ...

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If \( f(x)=x^{3}+3 x+4 \) then value of \( \int_{-1}^{1} f(x) d x+\int_{0}^{4} f^{-1}(x) d x \) equals
(a) 4
(b) \( \frac{17}{4} \)
(c) \( \frac{21}{4} \)
(d) \( \frac{23}{4} \)
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