(See) Determine whether the given function is a probability density function f(x)= 3/2x^2+2x for -1≤ x≤ 1 , 0 otherwise
Question: Determine whether the given function is a probability density function
\[f\left( x \right)=\left\{ \begin{aligned} & \frac{\text{3}}{\text{2}}{{x}^{\text{2}}}+2x\text{ for }-1\le x\le 1 \\ & 0\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\text{otherwise} \\ \end{aligned} \right.\]
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