| I tested the form generator https://products.aspose.ai/pdf/form-generator which generates LaTex from headings, paragraphs and other document controls. And it also generates formulas from descriptions. I copied some text from my article and got a fully functional LaTex with formulas: Fundamental Theorem of Calculus The Fundamental Theorem of Calculus links differentiation and integration. It consists of two parts: If f of x is continuous on the interval [a, b] and F of x is its antiderivative, then: integral from a to b of f of x with respect to x equals F of b minus F of a. If F of x is defined as an integral function: F of x equals integral from a to x of f of t with respect to t, then F of x is differentiable, and its derivative is the original function: d by dx of F of x equals f of x. Taylor Series Expansion A function f of x can be expressed as an infinite Taylor series around x equals a: summation from n equals zero to infinity of (nth derivative of f at a) divided by (n factorial) times (x minus a) to the power of n. For example, the Taylor series expansion of e to the power of x at x equals zero is: summation from n equals zero to infinity of (x to the power of n) divided by (n factorial), which expands as 1 plus x plus (x squared divided by 2 factorial) plus (x cubed divided by 3 factorial) and so on. Complex Line Integrals In complex analysis, contour integrals play a crucial role. The contour integral of a function f of z along a curve C is given by: closed contour integral along C of f of z with respect to z. A key result is Cauchy's Integral Formula: f of a equals (1 divided by 2 pi i) times the closed contour integral along C of (f of z divided by (z minus a)) with respect to z, which holds if f of z is analytic inside and on C, and a is within C. |