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Using a graph calculator find the limit of the region: 1

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Using a graph calculator find the limit of the region:

1. Find the area fo the region y= e^-x sin (pi X), y=0, x=0 and x=1

2. Find the volume of the solid per revolution generate around the area 

y= sin , y=0   pi/2 <_ x <_ pi 

 

Need a detail explanation of the Integrate