Question

$\begin{gathered} \rm \red{} \rm \red{ \frac{(2n)!}{ {2}^{2n} (n!)} \int_{ - 1}^{1} (1 - {x}^{2} ) {}^ndx}\end{gathered}$​

Answer 1

don't care about factorial just first doing integration it's answer is zero so multiplication with zero is zero.

Final answer is 0(zero)