How do I calculate the total time dilation experienced by an accelerating ship?

My advanced human civilisation often has high-acceleration ships travelling at near lightspeed. I know that time dilation would have a significant effect on the time experienced by the crews, but I've no idea how to calculate how much when they're under constant thrust - my usual calculation of averaging speeds won't work here as time dilation isn't linear. How can I calculate the time difference and eventual speed for 1 million G acceleration for 30min real time, or how long it would take to reach 50% lightspeed at 1 million G (for example)?

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How do I calculate the total time dilation experienced by an accelerating ship?

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