If \( \int_{0}^{\infty} x^{2 n+1} \cdot e^{-x^{2} d x}=360 \), then...

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If \( \int_{0}^{\infty} x^{2 n+1} \cdot e^{-x^{2} d x}=360 \), then the value of \( n \) is
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