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December 18th, 2012, 01:21 PM   #1
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ONE OF MANY ERRORS IN CALCULUS-2

I will show one real mistake of CALCULUS.
We look the link:

http://en.wikipedia.org/wiki/Partial_derivative(Examples)

We see a formula of a full derivative of volume of a cone on height:



We integrate this derivative and we receive... cylinder volume:



Here to you one real mistake!
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December 18th, 2012, 04:27 PM   #2
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Re: ONE OF MANY ERRORS IN CALCULUS-2

r for a cone is a function of h, r for a cylinder is constant.

The integral you wrote is for constant r, so it is wrong for a cone.

In a cone r=(H-h)tana, where H is the height of the cone and a is the cone half angle.
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