## The Total Differential Integral of Calculus

**Authors:** Gerardo Alvarado

I deduce a series which satisfies the fundamental theorem of calculus without dependence on an
explicit function. I prove Taylor's theorem and show that it is closely related. I deduce a series for the
logarithm function and from this series deduce the power series representation of the logarithm function
along with the interval of convergence. I also solve an ordinary differential equation.

**Comments:** recovered from sciprint.org

**Download:** **PDF**

### Submission history

[v1] 10 Mar 2007

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