Consider the region R in the xy-plane bounded by y = e, y = 1 and...

  

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Consider the region R in the xy-plane bounded by y = e, y = 1 and x = 1. X (a) Set up, but do not evaluate, an integral that calculates the area of R. (b) Set up, but do not evaluate, an integral that gives the volume of the solid with base R and cross sections perpendicular to the x-axis that are squares. (c) Set up, but do not evaluate, an integral that gives the volume of the solid with base R and cross sections perpendicular to the x-axis that are equilateral triangles. (d) Set up, but do not evaluate, an integral that gives the volume of the solid with base R and cross sections perpendicular to the x-axis that are semicircles. Consider the region R in the xy-plane bounded by y = e, y = 1 and x = 1. X (a) Set up, but do not evaluate, an integral that calculates the area of R. (b) Set up, but do not evaluate, an integral that gives the volume of the solid with base R and cross sections perpendicular to the x-axis that are squares. (c) Set up, but do not evaluate, an integral that gives the volume of the solid with base R and cross sections perpendicular to the x-axis that are equilateral triangles. (d) Set up, but do not evaluate, an integral that gives the volume of the solid with base R and cross sections perpendicular to the x-axis that are semicircles.