Question: Let $X$ have density given by $$ f(x) ~ = ~ begin{cases} c(1-x^2) ~~~ -1 < x < 1 0 ~~~~~~~~~~~~~~ text{ otherwise }

Let $X$ have density given by

$$

f(x) ~ = ~

\begin{cases}

c(1-x^2) ~~~ -1 < x < 1 \\

0 ~~~~~~~~~~~~~~ \text{ otherwise }

\end{cases}

Here $c$ is a constant.

Find the CDF of X

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