volume of the solid obtained by rotating the region bounded by y=x^2, y=3x about the line x = 3 can be computed using the method of washers via an integral  V= ∫________________  (with lower limit of a and upper limit of b)  with limits of integration a=_________ and b=_________ The volume of this solid can also be computed using cylindrical shells via an integral  V= ∫_______________ (with lower limt of alpha and upper limit of beta

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The volume of the solid obtained by rotating the region bounded by

y=x^2, y=3x

about the line x = 3 can be computed using the method of washers via an integral 

V= ∫________________ 

(with lower limit of a and upper limit of b) 

with limits of integration a=_________ and b=_________

The volume of this solid can also be computed using cylindrical shells via an integral 

V= ∫_______________

(with lower limt of alpha and upper limit of beta)

with limits of integration alpha=_________ and beta=__________

In either case, the volume is V=______________ cubic units

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