calculus and analysis - Workaround for Series messing up Inactive[Integrate]

Bug introduced in 10.0

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Series does not correctly construct expansions of inactive Integrate:

Series[Inactive[Integrate][x^a, {x, 0, 1}], {a, 0, 2}]

It pulls stuff that depends on the integration variable x, outside of the integral.

Is there a workaround? Is this a bug, or intended behavior?

Edit: Reported as bug, case 3895925