Question: using region fill in approximate integration

The Single Variable Calculus Approximate Integration Tutor (and the function ApproximateInt) work fine for the built-in example of sin(x) from 0 to Pi.  But if you change it to sin(Pi*x) from 0 to 1 then plot options are ignored.  And if you ask to integrate sin(3.1415926*x) from 0 to 1, then it works again.  Is there a work-around?

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