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# C4 integration - Area and Volume Watch

1. The curve C has parametric equations x = sint, y = sin2t
t = 0 or 0.5pi

a) Find the area of the region bounded by C and the x axis

If this region is revolved through 2pi radians about the x axis,
b) Find the volume of the solid formed
2. (Original post by Claxxy)
The curve C has parametric equations x = sint, y = sin2t
t = 0 or 0.5pi

a) Find the area of the region bounded by C and the x axis

If this region is revolved through 2pi radians about the x axis,
b) Find the volume of the solid formed
for a) The area

So it is -2cos^3(t)/3 from 0 to pi/2

for b)

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Updated: December 7, 2010
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