Indefinite Integral Constant Multiple Rule

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I am looking at the following post from Math Exchange.

In the post guest196883 writes

The rule stated only applies for definite integrals. That is: $$\int_a^b\alpha f\,dx = \alpha \int_a^bf \,dx$$

Does this mean it is NOT true in general for indefinite integrals? That is:

$$\int\alpha f\,dx = \alpha \int f \,dx$$

There was a short discussion in the comments of the post on this but I don't believe it was ever fully addressed. Thank you in advance!