The volume of the solid obtained by rotating the region bounded by y = x?, y = 6x, about the line x = 6 can be computed using the method of washers via an integral 9. V = pi(x^2-6х)^2 dx v a with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = dy v with limits of integration a = and B : In either case, the volume is V = cubic units.

The volume of the solid obtained by rotating the region bounded by y = x?, y = 6x, about the line x = 6 can be computed using the method of washers via an integral 9. V = pi(x^2-6х)^2 dx v a with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = dy v with limits of integration a = and B : In either case, the volume is V = cubic units.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 7E

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