3. Set up the integral but do not evaluate: Use disks, washers or shells to find the volume of the solid obtained by rotating the region bounded by the curve y = -(x − 1)² + 4 and y = 0 about the line z = 4 -

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3. Set up the integral but do not evaluate: Use disks, washers or shells to find
the volume of the solid obtained by rotating the region bounded by the curve
y = −(x − 1)² + 4 and y = 0 about the line x = 4
V = π 5² (-(x-1)²) ²
V=TY 5*(((x²=-2x+1))
(-(x-1)^)² = (x-1) (x-1)
x²-x-x+1
2
=x²-ax+1
(-2(x²-2x+1)
Transcribed Image Text:3. Set up the integral but do not evaluate: Use disks, washers or shells to find the volume of the solid obtained by rotating the region bounded by the curve y = −(x − 1)² + 4 and y = 0 about the line x = 4 V = π 5² (-(x-1)²) ² V=TY 5*(((x²=-2x+1)) (-(x-1)^)² = (x-1) (x-1) x²-x-x+1 2 =x²-ax+1 (-2(x²-2x+1)
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