Let f(x)=∫1x 2−t2dt, Then the real roots of the equation x2−f′(x)=0 are

# Let $f\left(x\right)={\int }_{1}^{x} \sqrt{2-{t}^{2}}dt$, Then the real roots of the equation ${x}^{2}-{f}^{\mathrm{\prime }}\left(x\right)=0$ are

1. A

$±1$

2. B

$±\frac{1}{\sqrt{2}}$

3. C

$±\frac{1}{2}$

4. D

0 and 1

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