Question: animation of Riemann sum and definite integration

Dear all,
I am trying to build an animated activity to introduce the concept of a definite integral.
My goal is to animate the graph simultaneously with a three-column table displaying the values of the upper Riemann sum, the lower Riemann sum, and the definite integral.
Any ideas or suggestions on how to implement this?
Many thanks in advance.

Riemann_Anim_table.mw

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