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If \( \int f(x) d x=F(x) \), then \( \int x^{3} f\left(x^{2}\right) d x \) is equal
\( \mathrm{P}^{1222} \) to

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(1) \( \frac{1}{2} \mathrm{x}^{2} \mathrm{~F}\left(\mathrm{x}^{2}\right)-\int x F\left(\mathrm{x}^{2}\right) \mathrm{dx} \)
(2) \( \frac{1}{2}\left(\mathrm{x}^{2} \mathrm{~F}\left(\mathrm{x}^{2}\right)-\int F\left(\mathrm{x}^{2}\right) \mathrm{dx}\right) \)
(3) \( \frac{1}{2}\left(x^{2} F(x)-\frac{1}{2} \int x F\left(x^{2}\right) d x\right) \)
(4) \( \frac{1}{2}\left(x^{2} F(x)-\frac{3}{2} \int F\left(x^{2}\right) d x\right) \)
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