1. Find the volume of the solid obtained by rotating the region bounded by the curve

y^2 - y^3 - x = 0, x = 0

about the line x = 0

2. Integral of (cos x + xsinx)/x(x+cosx) dx

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- Dec 15th 2010, 10:01 PMdevil10078Volume of solid of revolution.
1. Find the volume of the solid obtained by rotating the region bounded by the curve

y^2 - y^3 - x = 0, x = 0

about the line x = 0

2. Integral of (cos x + xsinx)/x(x+cosx) dx - Dec 15th 2010, 11:31 PMFernandoRevilla
The intersection points are and . Then,

Fernando Revilla - Dec 16th 2010, 01:06 AMProve It

.

Therefore .

To integrate the second term, make the substitution . - Dec 17th 2010, 06:57 AMKrizalid
good call, but it's actually easier than that, since