Alright, so we're supposed to find the anti derivatives for integration of 2t+e^2t.

The first anti derivative is 1/3t^3 + 1/2e^2t, but I am not certain how that was found, and then, we're supposed to find the anti derivative of that, and then the anti derivative once more.

I was wondering if someone could explain how exactly to find antiderivatives in a case like this?