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AP Calculus BC/Unit 8: Applications of Integration
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Volume of a Solid with Square Cross Sections

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A solid has as its base the region in the first quadrant bounded by the xx-axis, the yy-axis, the graph of y=exy = e^x, and the line x=1x = 1. If cross sections of the solid perpendicular to the xx-axis are squares, what is its volume?

A

e2−1e^2 - 1

B

2e2−22e^2 - 2

C

e−1e - 1

D

12e2−12\displaystyle \frac{1}{2}e^2 - \frac{1}{2}

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