How did my professor come up with this equation? Why is 1/i equal to a integral?

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I just went trough the notes that my physics prof. put online and I came up a strange equation that I dont really now how to get to.

Basically he said, that $U_e/(i*\omega)$ is equal to some integral (equation is in the picture).

The topic is about an RC-Circuit acting as an Integrator and $U_e$ is the In-Voltage and $U_a$ is the Out-Voltage.

Would be great if someone could help me out with this one.

The equation

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Hint:

$$\int e^{at} dt=\dfrac1a e^{at} + C $$