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Mathematica Help, Trying to Find Volume of Solid Revolved About An Axis?
f[x] = (8a^3)/(x² + 4a²)
I need to find the volume of the Witch of Agnesi curve revolved about the x-axis from (-Infinity,Infinity) using an improper integral within Mathematica. I tried using the formulas for a disc and cylindrical shells to no avail. Can anyone help me with the formula for it and perhaps the code in Mathematica for it?
1 Answer
- 1 decade agoFavorite Answer
i will give you some tips to remember.
first you need to find the area which means you do the integral for your curve.
then you find the volume of the curve by finding the integral of the area.
since you have -infinity to infinity , you need to use the improper integrals which means you write limit as t aproaches infinity and you write your integral with the interval of zero to infinity(t) plus the integral with interval from negative infinity(t) to zero then you find the integral.if your answer is infinity then it's divergent and your volume is inginity times large.
