# In Exercises 51 and 52, find the volume of the solid generated by revolving each region about the given axis.51. The region in the first quadrant bounded above by the curve y = x2, below by the x-axis, and on the right by the line x = 1, about the line x = -1 52. The region in the second quadrant bounded above by the curve y = -x3, below by the x-axis, and on the left by the line x = -1, about the line x = -2

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In Exercises 51 and 52, find the volume of the solid generated by revolving each region about the given axis.

51. The region in the first quadrant bounded above by the curve y = x2, below by the x-axis, and on the right by the line x = 1, about the line x = -1 52. The region in the second quadrant bounded above by the curve y = -x3, below by the x-axis, and on the left by the line x = -1, about the line x = -2

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Step 1

Given

Step 2

The formula for volume of solid is given by

Step 3

Sketch the region for the given conditions.

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### Calculus 