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Solve the Problem xx -Axis and the Curve y=xcosx,0xπ/2y = x \cos x , 0 \leq x \leq \pi / 2

Question 55

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region in the first quadrant bounded by the xx -axis and the curve y=xcosx,0xπ/2y = x \cos x , 0 \leq x \leq \pi / 2 about the yy -axis.


A) π32+2π24π\frac { \pi ^ { 3 } } { 2 } + 2 \pi ^ { 2 } - 4 \pi
B) π324π\frac { \pi ^ { 3 } } { 2 } - 4 \pi
C) π224π\frac { \pi ^ { 2 } } { 2 } - 4 \pi
D) π328π\frac { \pi ^ { 3 } } { 2 } - 8 \pi

Correct Answer:

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