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Problem 1:
Evaluate the integral:

Problem 2:
Evaluate the integral:

Problem 3:
Evaluate the integral:

Problem 4:
Evaluate the integral:

Problem 5:
Evaluate the integral:

Problem 6:
Evaluate the integral:

Problem 7:
Evaluate the integral:

Problem 8:
Find the volume of the solid when the region bounded by the line y = x and the curve y = x² is rotated around the line y = 2.

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