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Mathematics, 28.04.2021 23:00 tiggyandrep2dbee

Let RRR be the region enclosed by the line y=-1y=−1y, equals, minus, 1, the line x=2x=2x, equals, 2, and the curve y=x^2-1y=x 2 −1y, equals, x, squared, minus, 1. Line y = negative 1 and parabola y = x squared minus 1 are graphed. The parabola moves downward with decreasing steepness to the negative y axis, then moves upward. Y = negative 1 is tangent to the parabola, meeting it at (0, negative 1). The area enclosed by the two plots to the left of x = 2 is shaded, representing region R. A solid is generated by rotating RRR about the line y=-1y=−1y, equals, minus, 1. Which one of the definite integrals gives the volume of the solid?

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